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arXiv · 1808.03428

Differential K-theory and localization formula for $\eta$-invariants

Bo Liu·Xiaonan Ma
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Abstract

In this paper, we obtain a localization formula in differential K-theory for $S^1$-action. Then by combining an extension of Goette's result on the comparison of two types of equivariant $\eta$-invariants, we establish a version of localization formula for equivariant $\eta$-invariants. An important step of our approach is to construct a pre-$\lambda$-ring structure in differential K-theory which is interesting in its own right.

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Bo Liu, Xiaonan Ma. 2018-08-10. Differential K-theory and localization formula for $\eta$-invariants. https://arxiv.org/abs/1808.03428

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