Lecture Notes on Equivariant Cohomology

Abstract

These are the lecture notes for the introductory graduate course I taught at Yale during Spring 2007. I mostly followed [GS], [BGV], [AB], [Par2], and there are no original results in these notes.

72 pages, LaTeX

References in corpus (2)

• Duistermaat-Heckman measures in a non-compact setting
• Applications of Equivariant Cohomology

Cited by in corpus (13)

• Para-Liouville/Toda central charges from M5-branes
• Quiver Schur algebras and q-Fock space
• Supersymmetric Casimir Energy and the Anomaly Polynomial
• M5-branes Probing Flux Backgrounds
• Transversally Elliptic Complex and Cohomological Field Theory
• BPS Hall Algebra of Scattering Hall States
• Real models for the framed little $n$-disks operads
• Yang-Baxter algebras as convolution algebras: The Grassmannian case
• Equivariant characteristic forms in the Cartan model and Borel equivariant cohomology
• S^1-equivariant Morse cohomology
• Witten-Hodge theory on manifolds with boundary and equivariant cohomology
• Construction of right inverses of the Kirwan map
• Equivariant Localization in Stochastic Quantization and Quenched Matrix Models