A Short History of the Interaction Between QFT and Topology

Abstract

Today’s story should involve lots of people, but the stars are Sir Michael Atiyah and Edward Witten. It begins with a paper Witten wrote in 1982, called “Supersymmetry and Morse Theory” [3]. In this paper, Witten shows how to use ‘supersymmetric quantum mechanics’ to compute the de Rham cohomology of a compact manifold, M , via Morse theory. This was perhaps the first instance of using quantum theory to find topological invariants.

Cite this paper

@inproceedings{Huerta2009ASH, title={A Short History of the Interaction Between QFT and Topology}, author={John Gmerek Huerta}, year={2009} }