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  Real embedding and equivariant eta forms

Liu, B. (2019). Real embedding and equivariant eta forms. Mathematische Zeitschrift, 292(3-4), 849-878. doi:10.1007/s00209-018-2119-9.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-9BD4-E Version Permalink: https://hdl.handle.net/21.11116/0000-0004-9BD5-D
Genre: Journal Article

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 Creators:
Liu, Bo1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Differential Geometry
 Abstract: Bismut and Zhang (Math Ann 295(4):661–684,
1993) establish a mod Z embedding formula
of Atiyah–Patodi–Singer reduced eta invariants. In this paper, we explain the hidden mod Z
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.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 30
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 Rev. Type: Peer
 Identifiers: arXiv: 1706.07121
URI: http://arxiv.org/abs/1706.07121
DOI: 10.1007/s00209-018-2119-9
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Title: Mathematische Zeitschrift
  Abbreviation : Math. Z.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 292 (3-4) Sequence Number: - Start / End Page: 849 - 878 Identifier: -