Real embeddings, eta invariant and Chern-Simons current
Huitao Feng, Guangbo Xu, Weiping Zhang
TL;DR
This paper offers a new proof of the Bismut-Zhang localization formula for eta-invariants, avoiding previous analytic methods, and establishes a Riemann-Roch property for Chern-Simons currents.
Contribution
It provides an alternative proof of a key localization formula and introduces a Riemann-Roch property for Chern-Simons currents, expanding theoretical understanding.
Findings
New proof of Bismut-Zhang localization formula
Establishment of Riemann-Roch property for Chern-Simons currents
Enhanced theoretical framework for eta-invariants
Abstract
We present an alternate proof of the Bismut-Zhang localization formula for -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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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Algebra and Geometry · Advanced Topics in Algebra