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Analysis of Twisted Supercharge Families on Product Manifolds (1308.5411v3)
Published 25 Aug 2013 in math.KT, math-ph, and math.MP
Abstract: Twisted supercharge families on product manifolds $\mathbb{T} \times M$ 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.