Analysis of Twisted Supercharge Families on Product Manifolds
Antti J. Harju
TL;DR
This paper extends the analysis of twisted supercharge families on product manifolds to even twisted K-theory, providing solutions to their index problem and explicit representatives for classes on tori.
Contribution
It introduces a suspension method for twisted supercharge families, solving their index problem and representing all twisted K-theory classes on tori, including torsion classes.
Findings
Solved the twisted families index problem on product manifolds.
Provided explicit analytic representatives for all twisted K-theory classes on tori.
Extended the application from odd to even twisted K-theory.
Abstract
Twisted supercharge families on product manifolds 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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Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology