Equivariant Cohomology in Algebraic Geometry Lecture Fourteen: General Lie Groups

Equivariant Cohomology in Algebraic Geometry Lecture One: Preview

Equivariant Cohomology in Algebraic Geometry Lecture Three: More Basics, First Examples

Equivariant Cohomology in Algebraic Geometry Lecture Five: Projective Space; Localization Ii

Introduction to Equivariant Cohomology in Algebraic Geometry

Introduced by Borel in the late 1950’s, equivariant cohomology encodes information about how the topology of a space interacts with a group action. Quite some time passed before algebraic geometers picked up on these ideas, but in the last twenty years, equivariant techniques have found many applications in enumerative geometry, Gromov-Witten theory, and the study of toric varieties and homogen...

Equivariant cohomology and equivariant intersection theory

This text is an introduction to equivariant cohomology, a classical tool for topological transformation groups, and to equivariant intersection theory, a much more recent topic initiated by D. Edidin and W. Graham. It is based on lectures given at Montréal is Summer 1997. Our main aim is to obtain explicit descriptions of cohomology or Chow rings of certain manifolds with group actions which ar...