paper

A Gutzwiller type trace formula for the magnetic Dirac operator

arXiv:1806.10956 · doi:10.1007/s00039-018-0462-y

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.

arXiv admin note: text overlap with arXiv:1511.08545

A Gutzwiller type trace formula for the magnetic Dirac operator · wovepaper