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^*

^*Corresponding author for this work

School of Mathematical Sciences

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

4 Scopus citations

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’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.

Original language	English
Pages (from-to)	545-613
Number of pages	69
Journal	Inventiones Mathematicae
Volume	222
Issue number	2
DOIs	https://doi.org/10.1007/s00222-020-00973-8
State	Published - 1 Nov 2020

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10.1007/s00222-020-00973-8

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title = "Differential K-theory and localization formula for η -invariants",

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.",

author = "Bo Liu and Xiaonan Ma",

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T1 - Differential K-theory and localization formula for η -invariants

AU - Liu, Bo

AU - Ma, Xiaonan

PY - 2020/11/1

Y1 - 2020/11/1

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

U2 - 10.1007/s00222-020-00973-8

DO - 10.1007/s00222-020-00973-8

M3 - 文章

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SN - 0020-9910

VL - 222

SP - 545

EP - 613

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

IS - 2

ER -

Differential K-theory and localization formula for η -invariants

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