Torus Actions On Symplectic Manifolds

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Springer, 27 sept. 2004 - 325 pages
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This is an extended second edition of "The Topology of Torus Actions on Symplectic Manifolds" published in this series in 1991. The material and references have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity theorems, it contains much more results, proofs and examples.Chapter I deals with Lie group actions on manifolds. In Chapters II and III, symplectic geometry and Hamiltonian group actions are introduced, especially torus actions and action-angle variables. The core of the book is Chapter IV which is devoted to applications of Morse theory to Hamiltonian group actions, including convexity theorems. As a family of examples of symplectic manifolds, moduli spaces of flat connections are discussed in Chapter V. Then, Chapter VI centers on the Duistermaat-Heckman theorem. In Chapter VII, a topological construction of complex toric varieties is presented, and the last chapter illustrates the introduced methods for Hamiltonian circle actions on 4-manifolds.
  

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Table des matières

IV
9
V
13
VI
18
VII
32
VIII
37
IX
43
XI
52
XII
58
XXVIII
170
XXIX
175
XXX
177
XXXI
178
XXXII
189
XXXIII
201
XXXIV
212
XXXV
218

XIII
62
XIV
71
XV
77
XVI
87
XVII
97
XVIII
105
XX
108
XXI
111
XXII
113
XXIII
131
XXIV
136
XXV
147
XXVI
154
XXVII
162
XXXVI
220
XXXVII
225
XXXVIII
226
XXXIX
244
XL
257
XLI
262
XLII
266
XLIII
271
XLIV
272
XLV
279
XLVI
305
XLVII
311
XLVIII
321
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Page 318 - The Clarendon Press Oxford University Press, New York, 1995, Oxford Science Publications.

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Duistermaat, Pelayo: Symplectic torus actions with coisotropic ...
[2] M. Audin, Torus Actions on Symplectic Manifolds, Progress in Mathematics 93, Birkhäuser Verlag, 2004 MR 2091310 | Zbl 1062.57040 ...
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TORUS ACTIONS ON SYMPLECTIC MANIFOLDS 4 Symplectic Hamiltonian [1 ...
TORUS ACTIONS ON SYMPLECTIC MANIFOLDS. 木村 嘉之. 京都大学理学部数理科学系. 4. 回生. 京都大学理学部数理科学系. 4. 回生の木村嘉之です。私が現在勉強しているの...
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Torus actions on symplectic manifolds. - 2nd rev. ed / 2004 - Livros
AUDIN, Michèle; AUDIN, Michèle. Torus actions on symplectic manifolds. 2nd rev. ed Basel; Boston: Birkhäuser, c2004. 325 p. ISBN 3764321768 Número de ...
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Phys. Rev. A 65, 012105 (2002): Grondin et al. - Monodromy as ...
M. Audin, Topology of Torus Actions on Symplectic Manifolds (Birkhäuser, Basel, 1991), Chap. 5. rh Cushman and jj Duistermaat, J. Diff. ...
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