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

数学科学学院

Université Paris Cité

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	803-813
页数	11
期刊	Comptes Rendus Mathematique
卷	357
期	10
DOI	https://doi.org/10.1016/j.crma.2019.09.006
出版状态	已出版 - 10月 2019

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10.1016/j.crma.2019.09.006

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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.

UR - https://www.scopus.com/pages/publications/85073035434

U2 - 10.1016/j.crma.2019.09.006

DO - 10.1016/j.crma.2019.09.006

M3 - 文章

AN - SCOPUS:85073035434

SN - 1631-073X

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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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