Hamiltonian group actions and equivariant cohomology [Documento eletrónico] / by Shubham Dwivedi ... [et al.]
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, 2019Description: XI, 132 p. : il.ISBN: 978-3-030-27227-2.Series: SpringerBriefs in MathematicsSubject - Topical Name: Topology | Geometry Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA611.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 95814 |
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QA611.SPR FCT Basic topology 2, topological groups, topology of manifolds and lie groups | QA611.SPR FCT Topology of polymers | QA611.SPR FCT Topology and k-theory, lectures by daniel quillen | QA611.SPR FCT Hamiltonian group actions and equivariant cohomology | QA611.SPR FCT Topological dynamics of enveloping semigroups | QA611.SPR FCT Set function t, an account on f. b. jones' contributions to topology | QA611.SPR FCT Handbook of geometry and topology of singularities III |
This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry.
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