Hamiltonian Group Actions and Equivariant Cohomology is popular PDF and ePub book, written by Shubham Dwivedi in 2019-09-23, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hamiltonian Group Actions and Equivariant Cohomology can be Read Online from any device for your convenience.
Hamiltonian Group Actions and Equivariant Cohomology Book PDF Summary
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.
Detail Book of Hamiltonian Group Actions and Equivariant Cohomology PDF
- Author : Shubham Dwivedi
- Release : 23 September 2019
- Publisher : Springer Nature
- ISBN : 9783030272272
- Genre : Mathematics
- Total Page : 132 pages
- Language : English
- PDF File Size : 10,6 Mb
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