Real embedding and equivariant eta forms

Bo Liu

doi:10.1007/s00209-018-2119-9

Real embedding and equivariant eta forms

Bo Liu^*

^*Corresponding author for this work

School of Mathematical Sciences

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

8 Scopus citations

Abstract

Bismut and Zhang (Math Ann 295(4):661–684, 1993) establish a modZ embedding formula of Atiyah–Patodi–Singer reduced eta invariants. In this paper, we explain the hidden modZ term as a spectral flow and extend this embedding formula to the equivariant family case. In this case, the spectral flow is generalized to the equivariant Chern character of some equivariant Dai–Zhang higher spectral flow.

Original language	English
Pages (from-to)	849-878
Number of pages	30
Journal	Mathematische Zeitschrift
Volume	292
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-018-2119-9
State	Published - 1 Aug 2019

Keywords

Direct image
Equivariant eta form
Higher spectral flow
Index theory and fixed point theory

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10.1007/s00209-018-2119-9

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abstract = "Bismut and Zhang (Math Ann 295(4):661–684, 1993) establish a modZ embedding formula of Atiyah–Patodi–Singer reduced eta invariants. In this paper, we explain the hidden modZ term as a spectral flow and extend this embedding formula to the equivariant family case. In this case, the spectral flow is generalized to the equivariant Chern character of some equivariant Dai–Zhang higher spectral flow.",

keywords = "Direct image, Equivariant eta form, Higher spectral flow, Index theory and fixed point theory",

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AB - Bismut and Zhang (Math Ann 295(4):661–684, 1993) establish a modZ embedding formula of Atiyah–Patodi–Singer reduced eta invariants. In this paper, we explain the hidden modZ term as a spectral flow and extend this embedding formula to the equivariant family case. In this case, the spectral flow is generalized to the equivariant Chern character of some equivariant Dai–Zhang higher spectral flow.

KW - Direct image

KW - Equivariant eta form

KW - Higher spectral flow

KW - Index theory and fixed point theory

UR - https://www.scopus.com/pages/publications/85051652823

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IS - 3-4

ER -

Real embedding and equivariant eta forms

Abstract

Keywords

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