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El. knyga: Collected Works of William P. Thurston with Commentary

Edited by , Edited by , Edited by
  • Formatas: 627 pages
  • Serija: Collected Works
  • Išleidimo metai: 01-Apr-2022
  • Leidėjas: American Mathematical Society
  • ISBN-13: 9781470468347
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  • Formatas: 627 pages
  • Serija: Collected Works
  • Išleidimo metai: 01-Apr-2022
  • Leidėjas: American Mathematical Society
  • ISBN-13: 9781470468347
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William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I-III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume II contains William Thurston's papers on the geometry and topology of 3-manifolds, on complexity, constructions and computers, and on geometric group theory.
Volume II
Preface xiii
Acknowledgements xv
Part 1 Three-Dimensional Manifolds
1(396)
Commentary: Three-Dimensional Manifolds
3(6)
"Three dimensional manifolds, Kleinian groups and hyperbolic geometry," Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 357-381
9(26)
"Hyperbolic structures on 3-manifolds I: Deformation of acylindrical manifolds," Ann. of Math. (2) 124 (1986), no. 2, 203-246
35(44)
"Hyperbolic structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle," 1986 preprint, 1998 eprint
79(32)
"Hyperbolic structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary," 1986 preprint, 1998 eprint
111(20)
"Hyperbolic structures on 3-manifolds: Overall logic," 1980 preprint
131(16)
"Three-manifolds with symmetry," 1982 preprint
147(6)
"Hyperbolic geometry and 3-manifolds," Low-dimensional topology (Bangor, 1979), pp. 9-25, London Math. Soc. Lecture Note Ser., 48, Cambridge Univ. Press, Cambridge-New York, 1982
153(18)
(With A. Hatcher) "Incompressible surfaces in 2-bridge knot complements," Invent. Math. 79 (1985), no. 2, 225-246
171(22)
(With D. Cooper) "Triangulating 3-manifolds using 5 vertex link types," Topology 27 (1988), no. 1, 23-25
193(4)
(With Nathan M. Dunfield) "The virtual Haken conjecture: experiments and examples," Geom. Topol. 7 (2003), 399-441
197(44)
(With Nathan M. Dunfield) "Finite covers of random 3-manifolds," Invent. Math. 166 (2006), no. 3, 457-521
241(66)
(With James W. Cannon) "Group invariant Peano curves," Geom. Topol. 11 2007), 1315 1355
307(42)
(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
349(26)
(With Joel Hass and Abigail Thompson) "Stabilization of Heegaard splittings," Geom. Topol. 13 (2009), no. 4, 2029-2050
375(22)
Part 2 Complexity, Constructions and Computers
397(100)
Commentary: Complexity, Constructions and Computers
399(2)
(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
401(12)
(With Joel Hass and Jack Snoeyink) "The size of spanning disks for polygonal curves," Discrete Comput. Geom. 29 (2003) no. 1, 1-17
413(18)
(With Joel Hass and Jeffrey C. Lagarias) "Area inequalities for embedded disks spanning unknotted curves," J. Differential Geom. 68 (2004), no. 1, 1-29
431(30)
(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
461(6)
(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
467(30)
Part 3 Geometric Group Theory
497
Commentary: Geometric Group Theory
499(2)
"Finite state algorithms for the braid groups," February 1988 preprint
501(24)
(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
525(18)
(With J. W. Cannon, W. J. Floyd and M. A. Grayson) "Solvgroups are not almost convex." Geom. Dedicata 31 (1989), no. 3, 291-300
543(10)
"Groups, Tilings and Finite State Automata," Summer 1989 AMS Colloquium Lectures, Research Report GCG 1, 1989 preprint
553(50)
"Conway's tiling groups," Amer. Math. Monthly 97 (1990), no. 8, 757-773
603(18)
(With T. R. Riley) "The absence of efficient dual pairs of spanning trees in planar graphs," Electronic Journal of Combinatorics, 13 2006, #N13
621