Functoriality of equivariant eta forms

Bo Liu

doi:10.4171/JNCG/11-1-7

Functoriality of equivariant eta forms

Bo Liu^*

^*Corresponding author for this work

Humboldt University of Berlin

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

6 Scopus citations

Abstract

In this paper, we define the equivariant eta form of Bismut-Cheeger for a compact Lie group and establish a formula about the functoriality of equivariant eta forms with respect to the composition of two submersions, which is motivated by constructing the geometric model of equivariant differential K-theory.

Original language	English
Pages (from-to)	225-307
Number of pages	83
Journal	Journal of Noncommutative Geometry
Volume	11
Issue number	1
DOIs	https://doi.org/10.4171/JNCG/11-1-7
State	Published - 2017
Externally published	Yes

Keywords

Chern-Simons form
Equivariant eta form
Index theory and fixed point theory

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10.4171/JNCG/11-1-7

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title = "Functoriality of equivariant eta forms",

abstract = "In this paper, we define the equivariant eta form of Bismut-Cheeger for a compact Lie group and establish a formula about the functoriality of equivariant eta forms with respect to the composition of two submersions, which is motivated by constructing the geometric model of equivariant differential K-theory.",

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year = "2017",

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AB - In this paper, we define the equivariant eta form of Bismut-Cheeger for a compact Lie group and establish a formula about the functoriality of equivariant eta forms with respect to the composition of two submersions, which is motivated by constructing the geometric model of equivariant differential K-theory.

KW - Chern-Simons form

KW - Equivariant eta form

KW - Index theory and fixed point theory

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DO - 10.4171/JNCG/11-1-7

M3 - 文章

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VL - 11

SP - 225

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JO - Journal of Noncommutative Geometry

JF - Journal of Noncommutative Geometry

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Functoriality of equivariant eta forms

Abstract

Keywords

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