A GUTZWILLER TYPE TRACE FORMULA FOR THE MAGNETIC DIRAC OPERATOR

Nikhil Savale (1)

1 LJLL - Laboratoire Jacques-Louis Lions

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.

Domaines: Théorie spectrale [math.SP]; Equations aux dérivées partielles [math.AP]; Géométrie différentielle [math.DG]

Nikhil Savale. A GUTZWILLER TYPE TRACE FORMULA FOR THE MAGNETIC DIRAC OPERATOR. 2018. ⟨hal-01501299v3⟩