Real embeddings, eta invariant and Chern-Simons current

Guangbo Xu; Huitao Feng; Weiping Zhang

arxiv: 0707.4219 · v1 · pith:3PWQKJAGnew · submitted 2007-07-28 · 🧮 math.DG · math.KT

Real embeddings, eta invariant and Chern-Simons current

Huitao Feng , Guangbo Xu , Weiping Zhang This is my paper

classification 🧮 math.DG math.KT

keywords chern-simonsalternateanalyticbismut-lebeaubismut-zhangcoursecurrentcurrents

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We present an alternate proof of the Bismut-Zhang localization formula for $\eta$-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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Real embeddings, eta invariant and Chern-Simons current

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