000			01963nam a22003135i 4500
001			91142
005			20240911165856.0
010			_a978-3-030-27227-2 _dcompra
090			_a91142
100			_a20231023d2019 k||y0pory50 ba
101	0		_aeng
102			_aCH
200	1		_aHamiltonian group actions and equivariant cohomology _bDocumento eletrónico _fby Shubham Dwivedi ... [et al.]
210			_aCham _cSpringer International Publishing _d2019
215			_aXI, 132 p. _cil.
225	2		_aSpringerBriefs in Mathematics
303			_aThis 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.
606			_aTopology
606			_aGeometry
680			_aQA611-614.97
700			_aDwivedi _bShubham _4072 _974403
701			_aHerman _bJonathan _4072 _974404
701			_aJeffrey _bLisa C. _4072 _974405
701			_avan den Hurk _bTheo _4072 _974406
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-030-27227-2
942			_2lcc _cF _n0