Hamiltonian Group Actions and Equivariant Cohomology Paperback / softback
by Shubham Dwivedi, Jonathan Herman, Lisa C. Jeffrey, Theo van den Hurk
Part of the SpringerBriefs in Mathematics series
Paperback / softback
Description
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.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:132 pages, 1 Illustrations, color; 2 Illustrations, black and white; XI, 132 p. 3 illus., 1 illus. i
- Publisher:Springer Nature Switzerland AG
- Publication Date:07/10/2019
- Category:
- ISBN:9783030272265
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:132 pages, 1 Illustrations, color; 2 Illustrations, black and white; XI, 132 p. 3 illus., 1 illus. i
- Publisher:Springer Nature Switzerland AG
- Publication Date:07/10/2019
- Category:
- ISBN:9783030272265
