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arXiv · 0707.4219

Real embeddings, eta invariant and Chern-Simons current

Huitao Feng·Guangbo Xu·Weiping Zhang
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Abstract

We present an alternate proof of the Bismut-Zhang localization formula for $η$-invariants without using the analytic techniques developed by Bismut-Lebeau. A Riemann-Roch property for Chern-Simons currents, which is of independent interest, is established in due course.

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Huitao Feng, Guangbo Xu, Weiping Zhang. 2007-07-28. Real embeddings, eta invariant and Chern-Simons current. https://arxiv.org/abs/0707.4219

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