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A Gutzwiller type trace formula for the magnetic Dirac operator

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Savale, Nikhil

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A Gutzwiller type trace formula for the magnetic Dirac operator
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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For manifolds including metric-contact manifolds with non-resonant Reeb flow, 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.