MATH 7570 - Equivariant Cohomology

Florian Frick, fall 2016.

One main goal of this course will be to decide the existence of equivariant maps between topological spaces, that is continuous maps that commute with given group actions. This is a fundamental problem with applications in combinatorics, discrete geometry, etc., and we will also discuss these applications. To decide the existence of equivariant maps we will develop equivariant cohomology and in particular Fadell-Husseini index theory and equivariant obstruction theory.

Prerequisite

Prerequisite background includes some algebraic topology (such as MATH 6510).