Cohomological Partition Functions for a Class of Bosonic Theories

TL;DR

This paper explores how the path integral in certain bosonic theories can be connected to equivariant characteristic classes, offering a new mathematical perspective on these theories.

Contribution

It introduces a novel approach linking path integrals in bosonic theories to equivariant characteristic classes, expanding the mathematical framework for analyzing such theories.

Findings

Path integrals relate to equivariant characteristic classes.

Provides a new mathematical framework for bosonic theories.

Potential implications for understanding topological aspects of quantum field theories.

Abstract

We argue, that for a general class of nontrivial bosonic theories the path integral can be related to an equivariant generalization of conventional characteristic classes.