A Gutzwiller type trace formula for the magnetic Dirac operator
Spectral Theory
2018-11-06 v1
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.
Keywords
Cite
@article{arxiv.1806.10956,
title = {A Gutzwiller type trace formula for the magnetic Dirac operator},
author = {Nikhil Savale},
journal= {arXiv preprint arXiv:1806.10956},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1511.08545