Analysis of Twisted Supercharge Families on Product Manifolds

2013/08/25 by Harju, Antti J.
#19K56 #19L50 #53C08 #FOS: Mathematics #FOS: Physical sciences #K-Theory and Homology (math.KT) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1308.5411

Abstract

Twisted supercharge families on product manifolds \mathbbT × M have been applied in the analysis of the odd twisted K-theory. We shall suspend these families to the even twisted K-theory and solve their twisted families index problem. This is applied to give analytic representatives of the twisted K-theory classes on tori - including all the torsion classes.

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