Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections
Analysis of PDEs
2015-06-04 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We examine the local super trace asymptotics for the de Rham complex defined by an arbitrary super connection on the exterior algebra. We show, in contrast to the situation in which the connection in question is the Levi-Civita connection, that these invariants are generically non-zero in positive degree and that the critical term is not the Pfaffian.
Keywords
Cite
@article{arxiv.1201.6301,
title = {Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections},
author = {C. G. Beneventano and P. Gilkey and K. Kirsten and E. M. Santangelo},
journal= {arXiv preprint arXiv:1201.6301},
year = {2015}
}
Comments
14 pages