Real embedding and equivariant eta forms

Bo Liu

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arXiv · 1706.07121

Real embedding and equivariant eta forms

Bo Liu

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Abstract

In 1993, Bismut and Zhang 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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Bo Liu. 2017-06-21. Real embedding and equivariant eta forms. https://arxiv.org/abs/1706.07121

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