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| Preface |
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xiii | |
| Acknowledgements |
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xv | |
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1 | (450) |
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3 | (10) |
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"Foliations of three-manifolds which are circle bundles," Ph.D. Thesis, University of California, Berkeley, 1972 |
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(With J. F. Plante) "Anosov flows and the fundamental group," Topology 11 (1972), 147-150 |
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81 | (4) |
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"Noncobordant foliations of S3," Bull. Amer. Math. Soc. 78, no. 4, (1972), 511-514 |
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85 | (4) |
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(With H. Rosenberg) "Some remarks on foliations," Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971), pp. 463-478. Academic Press, New York, 1973 |
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89 | (16) |
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"Foliations and groups of diffeomorphisms," Bull. Amer. Math. Soc. 80, no. 2, (1974), 304-307 |
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105 | (4) |
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"A generalization of the Reeb stability theorem," Topology 13 (1974), 347 352 |
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109 | (6) |
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"The theory of foliations of codimension greater than one," Comment. Math. Helv. 49 (1974), 214-231 |
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115 | (18) |
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(With Morris W. Hirsch) "Foliated bundles, invariant measures and flat manifolds," Ann. Math. (2) 101 (1975), 369-390 |
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133 | (22) |
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321. Amer. Math. Soc, Providence, R.I., 1975 |
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155 | (2) |
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(With H. E. Winkelnkemper) "On the existence of contact forms," Proc. Amer. Math. Soc. 52 (1975), 345-347 |
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157 | (4) |
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"A local construction of foliations for three-manifolds," Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 1, pp. 315-319. Amer. Math. Soc, Providence, R.I., 1975 |
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161 | (6) |
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167 | (4) |
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"Existence of codimension-one foliations," Ann. of Math. (2) 104 (1976), no. 2, 249-268 |
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171 | (20) |
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(With J. F. Plante) "Polynomial growth in holonomy groups of foliations," Comment. Math. Helv. 51 (1976), no. 4, 567-584 |
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191 | (18) |
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(With Michael Handel) "Anosov flows on new three manifolds," Invent. Math. 59 (1980), no. 2, 95-103 |
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209 | (10) |
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"A norm for the homology of 3-manifolds," Mem. Amer. Math. Soc 59 (1986), no. 339, i-vi and 99-130 |
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219 | (38) |
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(With Yakov M. Eliashberg) "Contact structures and foliations on 3-manifolds," Turkish J. Math. 20 (1996), no. 1, 19-35 |
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257 | (18) |
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(With Yakov M. Eliashberg) Confoliations, University Lecture Series 13, American Mathematical Society, Providence, RI, 1998 |
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275 | (78) |
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"Three-manifolds, foliations and circles, I," December 1997 eprint |
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353 | (60) |
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"Three-manifolds, foliations and circles, II: the Transverse Asymptotic Geometry of Foliations," January 1998 preprint |
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413 | (38) |
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Part 2 Surfaces and Mapping Class Groups |
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451 | (160) |
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Commentary: Surfaces and Mapping Class Groups |
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453 | (4) |
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(With A. Hatcher) "A presentation for the mapping class group of a closed orientable surface," Topology 19 (1980), no. 3, 221-237 |
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457 | (18) |
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(With Michael Handel) "New proofs of some results of Nielsen," Adv. in Math. 56 (1985), no. 2, 173-191 |
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475 | (20) |
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"On the geometry and dynamics of diffeomorphisms of surfaces," Bull. Amer. Math. Soc. (N.S.) 19 (1988), no. 2, 417-431 |
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495 | (16) |
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"Earthquakes in 2-dimensional hyperbolic geometry," Low-dimensional topology and Kleinian groups, (Coventry/Durham, 1984), 269-289, London Math. Soc. Lecture Note Ser., 112, Cambridge Univ. Press, Cambridge, 1986 |
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511 | (22) |
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"Minimal stretch maps between hyperbolic surfaces," 1986 preprint 1998 eprint |
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533 | (54) |
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(With Steven P. Kerckhoff) "Non-continuity of the action of the modular group at Bers' boundary of Teichmuller space," Invent. Math. 100 (1990), no. 1, 25-47 |
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587 | (24) |
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Part 3 Differential Geometry |
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611 | (2) |
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Commentary: Differential Geometry |
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613 | (4) |
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"Some simple examples of symplectic manifolds," Proc. Amer. Math. Soc. 55 (1976), no. 2, 467-468 |
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617 | (2) |
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(With J. Milnor) "Characteristic numbers of 3-manifolds," Enseign. Math. (2) 23 (1977), no. 3-4, 249-254 |
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619 | (6) |
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(With D. B. A. Epstein) "Transformation groups and natural bundles," Proc. London Math. Soc. (3) 38 (1979), no. 2, 219-236 |
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625 | (18) |
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(With Dennis Sullivan) "Manifolds with canonical coordinate charts: some examples," Enseign. Math. (2) 29 (1983), no. 1-2, 15-25 |
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643 | (12) |
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(With M. Gromov) "Pinching constants for hyperbolic manifolds," Invent. Math. 89 (1987), no. 1, 1-12 |
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655 | (12) |
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(With M. Gromov and H. B. Lawson, Jr.) "Hyperbolic 4-manifolds and conformally flat 3-manifolds," Inst. Hautes Etudes Sci. Publ. Math. 68 (1988), 27-45 (1989) |
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667 | (20) |
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"Shapes of polyhedra and triangulations of the sphere," The Epstein birthday schrift, 511-549, Geom. Topol. Monogr. 1 Geom. Topol. Publ., Coventry, 1998 |
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687 | (40) |
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(With John H. Conway, Olaf Delgado Priedrichs and Daniel H. Huson) "On three-dimensional space groups," Beitrage Algebra Geom. 42 (2001), no. 2, 475-507 |
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727 | |
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| Preface |
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xiii | |
| Acknowledgements |
|
xv | |
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Part 1 Three-Dimensional Manifolds |
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1 | (396) |
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Commentary: Three-Dimensional Manifolds |
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3 | (6) |
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"Three dimensional manifolds, Kleinian groups and hyperbolic geometry," Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 357-381 |
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9 | (26) |
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"Hyperbolic structures on 3-manifolds I: Deformation of acylindrical manifolds," Ann. of Math. (2) 124 (1986), no. 2, 203-246 |
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"Hyperbolic structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle," 1986 preprint 1998 eprint |
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79 | (32) |
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"Hyperbolic structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary," 1986 preprint 1998 eprint |
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111 | (20) |
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"Hyperbolic structures on 3-manifolds: Overall logic," 1980 preprint |
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131 | (16) |
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"Three-manifolds with symmetry," 1982 preprint |
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147 | (6) |
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153 | (18) |
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(With A. Hatcher) "Incompressible surfaces in 2-bridge knot complements," Invent. Math. 79 (1985), no. 2, 225-246 |
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171 | (22) |
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(With D. Cooper) "Triangulating 3-manifolds using 5 vertex link types," Topology 27 (1988), no. 1, 23-25 |
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193 | (4) |
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(With Nathan M. Dunfield) "The virtual Haken conjecture: experiments and examples," Geom. Topol. 7 (2003), 399-441 |
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197 | (44) |
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(With Nathan M. Dunfield) "Finite covers of random 3-manifolds," Invent. Math. 166 (2006), no. 3, 457-521 |
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241 | (66) |
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(With James W. Cannon) "Group invariant Peano curves," Geom. Topol. 11 (2007), 1315-1355 |
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307 | (42) |
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(With Ian Agol and Peter A. Storm) "Lower bounds on volumes of hyperbolic Haken 3-manifolds. With an appendix by Nathan Dunfield," J. Amer. Math. Soc. 20 (2007), no. 4, 1053-1077 |
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349 | (26) |
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(With Joel Hass and Abigail Thompson) "Stabilization of Heegaard splittings," Geom. Topol. 13 (2009), no. 4, 2029-2050 |
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375 | (22) |
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Part 2 Complexity, Constructions and Computers |
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397 | (100) |
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Commentary: Complexity, Constructions and Computers |
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399 | (2) |
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(With Frederick J. Almgren, Jr.) "Examples of unknotted curves which bound only surfaces of high genus within their convex hulls," Ann. of Math. (2) 105 (1977), no. 3, 527-538 |
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401 | (12) |
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(With Joel Hass and Jack Snoeyink) "The size of spanning disks for polygonal curves," Discrete Comput. Geom. 29 (2003) no. 1, 1-17 |
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413 | (18) |
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(With Joel Hass and Jeffrey C. Lagarias) "Area inequalities for embedded disks spanning unknotted curves," J. Differential Geom. 68 (2004), no. 1, 1-29 |
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431 | (30) |
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(With Ian Agol and Joel Hass) "3-manifold knot genus is NP-complete," Proceedings of the Thirty-Fourth Annual ACM Symposium on Theory of Computing, 761-766, ACM, New York, 2002 |
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461 | (6) |
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(With Ian Agol and Joel Hass) "The computational complexity of knot genus and spanning area," Trans. Amer. Math. Soc. 358 (2006), no. 9, 3821-3850 |
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467 | (30) |
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Part 3 Geometric Group Theory |
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497 | (2) |
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Commentary: Geometric Group Theory |
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499 | (2) |
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"Finite state algorithms for the braid groups," February 1988 preprint |
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501 | (24) |
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(With D. B. A. Epstein) "Combable groups," Conference on Differential Geometry and Topology (Sardinia, 1988). Rend. Sem. Fac. Sci. Univ. Cagliari 58 (1988), suppl., 423-439 |
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525 | (18) |
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(With J. W. Cannon, W. J. Floyd and M. A. Grayson) "Solvgroups are not almost convex." Geom. Dedicata 31 (1989), no. 3, 291-300 |
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543 | (10) |
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"Groups, Tilings and Finite State Automata," Summer 1989 AMS Colloquium Lectures, Research Report GCG 1 1989 preprint |
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553 | (50) |
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"Conway's tiling groups," Amer. Math. Monthly 97 (1990), no. 8, 757-773 |
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603 | (18) |
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(With T. R. Riley) "The absence of efficient dual pairs of spanning trees in planar graphs," Electronic Journal of Combinatorics 13 2006, #N13 |
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621 | |
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| Preface |
|
xiii | |
| Acknowledgements |
|
xv | |
|
Part 1 Dynamics and Complex Analysis |
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1 | (328) |
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3 | (4) |
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(With John Milnor) "On iterated maps of the interval," Dynamical systems, (College Park, MD, 198687), 465-563, Lecture Notes in Math. 1342, Springer, Berlin, 1988 |
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7 | (100) |
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"On the dynamics of iterated rational maps," February 1984 preprint |
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107 | (70) |
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"Entropy in dimension one," Frontiers in complex dynamics: In Celebration of John Milnor's 80th Birthday, Araceli Bonifant, Misha Lyubich, and Scott Sutherland, 339-384, Princeton Math. Ser., 51, Princeton Univ. Press, Princeton, NJ, 2014 |
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177 | (46) |
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(With Hyungryul Baik, Gao Yan, John H. Hubbard, Tan Lei, Kathryn A. Lindsey and Dylan P. Thurston) "Degree-d-invariant laminations," What's Next?: The Mathematical Legacy of William P. Thurston, Dylan Thurston (ed.). Annals of Mathematics Studies 205, 259-325, Princeton University Press, Princeton, NJ, 2020 |
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223 | (68) |
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(With Ethan M. Coven, William Geller and Sylvia Silberger) "The symbolic dynamics of tiling the integers," Israel J. Math. 130 (2002), 21-27 |
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291 | (8) |
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(With Dennis P. Sullivan) "Extending holomorphic motions," Acta Math. 157 (1986), no. 3-4, 243-257 |
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299 | (16) |
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"Zippers and univalent functions. The Bieberbach conjecture," (West Lafayette, Ind., 1985), 185-197, Math. Surveys Monogr., 21, Amer. Math. Soc, Providence, RI, 1986 |
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315 | (14) |
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329 | (2) |
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Commentary: Computer Science |
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331 | (2) |
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(With James K. Park and Kenneth Steiglitz) "Soliton-like behavior in automata," Phys. D 19 (1986), no. 3, 423-432 |
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333 | (10) |
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(With Daniel D. Sleator and Robert E. Tarjan) "Rotation distance, triangulations, and hyperbolic geometry," J. Amer. Math. Soc. 1 (1988), no. 3, 647-681 |
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343 | (36) |
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(With Daniel D. Sleator and Robert E. Tarjan) "Short encodings of evolving structures," SI AM J. Discrete Math. 5 (1992), no. 3, 428-450 |
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379 | (24) |
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(With Gary L. Miller, Shang-Hua Teng, and Stephen A. Vavasis) "Automatic mesh partitioning. Graph theory and sparse matrix computation," 57-84, IMA Vol. Math. Appi, 56, Springer, New York, 1993 |
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403 | (28) |
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(With Gary L. Miller, Shang-Hua Teng, and Stephen A. Vavasis) "Separators for sphere-packings and nearest neighbor graphs," J. ACM 44 (1997), no. 1, 1-29 |
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431 | (30) |
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(With Gary L. Miller, Shang-Hua Teng, and Stephen A. Vavasis) "Geometric separators for finite-element meshes," SIAM J. Sci. Comput. 19 (1998), no. 2, 364-386 |
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461 | (24) |
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Papers for General Audiences |
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485 | (2) |
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Commentary: General Audience |
|
|
487 | (2) |
|
"On proof and progress in mathematics," Bull. Amer. Math. Soc. (N.S.) 30 (1994), no. 2, 161-177 |
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489 | (18) |
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(With Jean-Pierre Bourguignon) "Interview de William Thurston," Gaz. Math. No. 65 (1995), 11-18 |
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507 | (8) |
|
"How to see 3-manifolds"; Topology of the Universe Conference (Cleveland, OH, 1997), Classical Quantum Gravity 15 (1998), no. 9, 2545-2571 |
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515 | (28) |
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"The Eightfold Way: a mathematical sculpture by Helaman Ferguson," The Eightfold Way, 1-7, Math. Sci. Res. Inst. Publ. 35, Cambridge Univ. Press, Cambridge, 1998 |
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543 | (8) |
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551 | (2) |
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Commentary: Miscellaneous Papers |
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553 | (2) |
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|
555 | (40) |
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(With D. M. Kan) "Every connected space has the homology of a K(n, 1)," Topology 15 (1976), no. 3, 253-258 |
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|
595 | (6) |
|
(With L. Vaserstein) "On ifi-theory of the Euclidean space," Topology Appl 23 (1986), no. 2, 145-148 |
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601 | |
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Volume IV-The Geometry and Topology of Three-Manifolds |
|
|
| Publisher's Note |
|
ix | |
| Editor's Preface |
|
xi | |
| Introduction |
|
xvii | |
|
Chapter 1 Geometry and three-manifolds |
|
|
1 | (6) |
|
Chapter 2 Elliptic and hyperbolic geometry |
|
|
7 | (16) |
|
Chapter 3 Geometric structures on manifolds |
|
|
23 | (14) |
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Chapter 4 Hyperbolic Dehn surgery |
|
|
37 | (34) |
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Chapter 5 Flexibility and rigidity of geometric structures |
|
|
71 | (34) |
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Chapter 6 Gromov's invariant and the volume of a hyperbolic manifold |
|
|
105 | (30) |
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Chapter 7 Computation of volume |
|
|
135 | (14) |
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Chapter 8 Kleinian groups |
|
|
149 | (46) |
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Chapter 9 Algebraic convergence |
|
|
195 | (56) |
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249 | (2) |
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Chapter 11 Deforming Kleinian manifolds by homeomorphisms of the sphere at infinity |
|
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251 | (10) |
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|
|
261 | (52) |
| Index |
|
313 | |
