EVENT DETAILS AND ABSTRACT

Title: Equivariant fundamental classes in RO(C₂)-graded cohomology
Speaker: Christy Hazel
Speaker Info: University of Oregon
Brief Description:
Special Note:
Abstract:

Let $C_2$ denote the cyclic group of order two. Given a manifold with a $C_2$-action, we can consider its equivariant Bredon $RO(C_2)$-graded cohomology. In this talk, I will give an overview of $RO(C_2)$-graded cohomology in constant $\mathbb{Z}/2$ coefficients, and then explain how a version of the Thom isomorphism theorem in this setting can be used to develop a theory of fundamental classes for equivariant submanifolds. I will then illustrate how these classes can be used to understand the cohomology of any $C_2$-surface in constant $\mathbb{Z/2}$ coefficients, including the ring structure.