Differential K-theory and localization formula for η -invariants

Bo Liu; Xiaonan Ma

doi:10.1007/s00222-020-00973-8

Differential K-theory and localization formula for η -invariants

Bo Liu
, Xiaonan Ma^*

^*此作品的通讯作者

数学科学学院

Université Paris Cité
University of Science and Technology of China

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

In this paper we obtain a localization formula in differential K-theory for S¹-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.

源语言	英语
页（从-至）	545-613
页数	69
期刊	Inventiones Mathematicae
卷	222
期	2
DOI	https://doi.org/10.1007/s00222-020-00973-8
出版状态	已出版 - 1 11月 2020

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abstract = "In this paper we obtain a localization formula in differential K-theory for S1-actions. We establish a localization formula for equivariant η-invariants by combining this result with our extension of Goette{\textquoteright}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.",

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AU - Liu, Bo

AU - Ma, Xiaonan

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N2 - In this paper we obtain a localization formula in differential K-theory for S1-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.

AB - In this paper we obtain a localization formula in differential K-theory for S1-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.

UR - https://www.scopus.com/pages/publications/85086365550

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DO - 10.1007/s00222-020-00973-8

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JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

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Differential K-theory and localization formula for η -invariants

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