Differential K-theory, η-invariant, and localization

Bo Liu; Xiaonan Ma

doi:10.1016/j.crma.2019.09.006

Differential K-theory, η-invariant, and localization

Bo Liu, Xiaonan Ma

School of Mathematical Sciences

Université Paris Cité

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We establish a version of a localization formula for equivariant η-invariants by combining an extension of Goette's result on the comparison of two types of equivariant η-invariants and a localization formula in differential K-theory for S¹-actions. An important step is to construct a pre-λ-ring structure in differential K-theory.

Original language	English
Pages (from-to)	803-813
Number of pages	11
Journal	Comptes Rendus Mathematique
Volume	357
Issue number	10
DOIs	https://doi.org/10.1016/j.crma.2019.09.006
State	Published - Oct 2019

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title = "Differential K-theory, η-invariant, and localization",

abstract = "We establish a version of a localization formula for equivariant η-invariants by combining an extension of Goette's result on the comparison of two types of equivariant η-invariants and a localization formula in differential K-theory for S1-actions. An important step is to construct a pre-λ-ring structure in differential K-theory.",

author = "Bo Liu and Xiaonan Ma",

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AU - Ma, Xiaonan

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AB - We establish a version of a localization formula for equivariant η-invariants by combining an extension of Goette's result on the comparison of two types of equivariant η-invariants and a localization formula in differential K-theory for S1-actions. An important step is to construct a pre-λ-ring structure in differential K-theory.

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U2 - 10.1016/j.crma.2019.09.006

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M3 - 文章

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

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Differential K-theory, η-invariant, and localization

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