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arXiv · 1806.10956

A Gutzwiller type trace formula for the magnetic Dirac operator

Nikhil Savale
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Abstract

For manifolds including metric-contact manifolds with non-resonant Reeb ow, we prove a Gutzwiller type trace formula for the associated magnetic Dirac operator involving contributions from Reeb orbits on the base. As an application, we prove a semiclassical limit formula for the eta invariant.

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Nikhil Savale. 2018-06-27. A Gutzwiller type trace formula for the magnetic Dirac operator. https://doi.org/10.1007/s00039-018-0462-y

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