The equivariant Chern character as super holonomy on loop stacks

2016/10/07 by Daniel Berwick-Evans, Berwick-Evans, Daniel, Fei Han +1
Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AT #math.DG #math.MP

paper · pdf · doi:10.48550/arxiv.1610.02362

11 pages

arxiv created 2016/10/07 · arxiv updated 2016/10/10

Abstract

We study super parallel transport around super loops in a quotient stack, and show that this geometry constructs a global version of the equivariant Chern character.

Related

• A geometric view of the Chern character
• Superconnection and Orbifold Chern character
• Supersymmetric QFT, Super Loop Spaces and Bismut-Chern Character
• Super-connections and non-commutative geometry
• Chern characters via connections up to homotopy