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

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  • Formatas: 759 pages
  • Serija: Collected Works
  • Išleidimo metai: 01-Apr-2022
  • Leidėjas: American Mathematical Society
  • ISBN-13: 9781470468330
Kitos knygos pagal šią temą:
Collected Works of William P. Thurston with CommentaryDidesnis paveikslėlis
  • Formatas: 759 pages
  • Serija: Collected Works
  • Išleidimo metai: 01-Apr-2022
  • Leidėjas: American Mathematical Society
  • ISBN-13: 9781470468330
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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 I contains William Thurston's papers on foliations, mapping classes groups, and differential geometry.
Volume I
Preface xiii
Acknowledgements xv
Part 1 Foliations
1(450)
Commentary: Foliations
3(10)
"Foliations of three-manifolds which are circle bundles," Ph.D. Thesis, University of California, Berkeley, 1972
13(68)
(With J. F. Plante) "Anosov flows and the fundamental group," Topology 11 (1972), 147-150
81(4)
"Noncobordant foliations of S3," Bull. Amer. Math. Soc. 78, no. 4, (1972), 511-514
85(4)
(With H. Rosenberg) "Some remarks on foliations," Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971), pp. 463-478. Academic Press, New York, 1973
89(16)
"Foliations and groups of diffeomorphisms," Bull. Amer. Math. Soc. 80, no. 2, (1974), 304-307
105(4)
"A generalization of the Reeb stability theorem," Topology 13 (1974), 347-352
109(6)
"The theory of foliations of codimension greater than one," Comment. Math. Helv. 49 (1974), 214-231
115(18)
(With Morris W. Hirsch) "Foliated bundles, invariant measures and flat manifolds," Ann. Math. (2) 101 (1975), 369-390
133(22)
"The theory of foliations of codimension greater than one," Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif, 1973), Part 1, p.
321. Amer. Math. Soc, Providence, R.I., 1975
155(2)
(With H. E. Winkelnkemper) "On the existence of contact forms," Proc. Amer. Math. Soc. 52 (1975), 345-347
157(4)
"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
161(6)
"On the construction and classification of foliations," Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), Vol. 1, pp. 547-549. Canad. Math. Congress, Montreal, Que, 1975
167(4)
"Existence of codimension-one foliations," Ann. of Math. (2) 104 (1976), no. 2, 249-268
171(20)
(With J. F. Plante) "Polynomial growth in holonomy groups of foliations," Comment. Math. Helv. 51 (1976), no. 4, 567-584
191(18)
(With Michael Handel) "Anosov flows on new three manifolds," Invent. Math. 59 (1980), no. 2, 95-103
209(10)
"A norm for the homology of 3-manifolds," Mem. Amer. Math. Soc. 59 (1986), no. 339, i-vi and 99 130
219(38)
(With Yakov M. Eliashberg) "Contact structures and foliations on 3-manifolds," Turkish J. Math. 20 (1996), no. 1, 19-35
257(18)
(With Yakov M. Eliashberg) Confoliations, University Lecture Series 13, American Mathematical Society, Providence, PJ, 1998
275(78)
"Three-manifolds, foliations and circles, I," December 1997 eprint
353(60)
"Three-manifolds, foliations and circles, II: the Transverse Asymptotic Geometry of Foliations," January 1998 preprint
413(38)
Part 2 Surfaces and Mapping Class Groups
451(160)
Commentary: Surfaces and Mapping Class Groups
453(4)
(With A. Hatcher) "A presentation for the mapping class group of a closed orientable surface," Topology 19 (1980), no. 3, 221-237
457(18)
(With Michael Handel) "New proofs of some results of Nielsen," Adv. in Math. 56 (1985), no. 2, 173-191
475(20)
"On the geometry and dynamics of diffeomorphisms of surfaces," Bull. Amer. Math. Soc. (N.S.) 19 (1988), no. 2, 417-431
495(16)
"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
511(22)
"Minimal stretch maps between hyperbolic surfaces," 1986 preprint, 1998 eprint
533(54)
(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
587(24)
Part 3 Differential Geometry
611
Commentary: Differential Geometry
613(4)
"Some simple examples of symplectic manifolds," Proc. Amer. Math. Soc. 55 (1976), no. 2, 467-468
617(2)
(With J. Milnor) "Characteristic numbers of 3-manifolds," Enseign. Math. (2) 23 (1977), no. 3-4, 249-254
619(6)
(With D. B. A. Epstein) "Transformation groups and natural bundles," Proc. London Math. Soc. (3) 38 (1979), no. 2, 219-236
625(18)
(With Dennis Sullivan) "Manifolds with canonical coordinate charts: some examples," Enseign. Math. (2) 29 (1983), no. 1 2, 15-25
643(12)
(With M. Gromov) "Pinching constants for hyperbolic manifolds," Invent. Math. 89 (1987), no. 1, 1-12
655(12)
(With M. Gromov and H. B. Lawson, Jr.) "Hyperbolic 4-manifolds and eonformally flat 3-manifolds," Inst. Hautes Etudes Sci. Publ. Math. 68 (1988), 27-45 (1989)
667(20)
"Shapes of polyhedra and triangulations of the sphere," The Epstein birthday schrift, 511-549, Geom. Topol. Monogr., 1 Geom. Topol. Publ., Coventry, 1998
687(40)
(With John H. Conway, Olaf Delgado Friedrichs and Daniel H. Huson) "On three-dimensional space groups," Beitrage Algebra Geom. 42 (2001), no. 2, 475-507
727
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