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A Gutzwiller type trace formula for the magnetic Dirac operator (1806.10956v1)

Published 27 Jun 2018 in math.SP

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.