Dimensional reduction and the equivariant Chern character

Stoffel, Augusto

doi:10.2140/agt.2019.19.109

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Dimensional reduction and the equivariant Chern character

Augusto Stoffel

Algebraic & Geometric Topology 19 (2019) 109–150

DOI: 10.2140/agt.2019.19.109

Abstract

We propose a dimensional reduction procedure for $1 | 1$ –dimensional supersymmetric euclidean field theories (EFTs) in the sense of Stolz and Teichner. Our construction is well suited in the presence of a finite gauge group or, more generally, for field theories over an orbifold. As an illustration, we give a geometric interpretation of the Chern character for manifolds with an action by a finite group.

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Keywords

dimensional reduction, topological quantum field theory, Chern character, supermanifolds

Mathematical Subject Classification 2010

Primary: 19L10, 19L47, 57R18, 57R56

Secondary: 55N91, 58C50, 81T60

References

Publication

Received: 3 April 2017

Revised: 17 September 2018

Accepted: 25 September 2018

Published: 6 February 2019

Authors

Augusto Stoffel
Max Planck Institute for Mathematics Bonn Germany

Volume 19, issue 1 (2019)