Hamiltonian Group Actions and Equivariant Cohomology

ISBN-13: 9783030272265 / Angielski / Miękka / 2019 / 132 str.

Shubham Dwivedi; Jonathan Herman; Lisa C. Jeffrey

Recenzje

"The target audience is graduate students; ... this monograph could easily be used by researchers interested in learning the subject at a fast pace. It is a perfect text for a seminar course. ... the book's material is presented in a crisp and abridged manner. ... This makes the presentation short and highly valuable." (Eduardo A. Gonzalez, Mathematical Reviews, December, 2020)

Spis treści

Symplectic vector spaces.- Hamiltonian group actions.- The Darboux-Weinstein Theorem.- Elementary properties of moment maps.- The symplectic structure on coadjoint orbits.- Symplectic Reduction.- Convexity.- Toric Manifolds.- Equivariant Cohomology.- The Duistermaat-Heckman Theorem.- Geometric Quantization.- Flat connections on 2-manifolds.