Differential K-theory and localization formula for η-invariants

Differential K-theory and localization formula for η-invariants
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DOI:
10.1007/s00222-020-00973-8
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发表时间:
2020
期刊:
Inventiones Mathematicae
影响因子:
--
通讯作者:
Xiaonan Ma
Xiaonan Ma
中科院分区:
--
文献类型:
--
作者:
刘博;Xiaonan Ma

文献摘要

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In this paper we obtain a localization formula in differential K-theory for S^1-actions. We establish a localization formula for equivariant η-invariants by combining this result with our extension of Goette’s result on the comparison of two types of equivariant η-invariants. An important step in our approach is to construct a pre-λ-ring structure in differential K-theory.