Cobordism of involutions revisited, revisited

TL;DR

This paper revisits Boardman's work on Z/2-equivariant unoriented cobordism, highlighting a geometric interpretation of Tate cohomology that offers new insights into equivariant topology.

Contribution

It provides a geometric perspective on Tate cohomology within the context of equivariant cobordism, clarifying and promoting these ideas.

Findings

Geometric interpretation of Tate cohomology in equivariant cobordism

Revisiting classical work to clarify its relevance today

Potential applications in understanding equivariant topological invariants

Abstract

This is an old talk about Boardman's work in Z/2-equivariant unoriented cobordism. It appeared long ago, but it discusses a useful geometric interpretation of Tate cohomology which doesn't seem to be widely known. I'm posting it in an attempt to advertise those ideas.