The $L^2-$Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities. A heat kernel approach
Differential Geometry
2013-05-15 v3
Abstract
Using an approach based on the heat kernel we prove an Atiyah-Bott-Lefschetz theorem for the Lefschetz numbers associated to an elliptic complex of cone differential operators over a compact manifold with conical singularities. We then apply our results to the case of the de Rham complex.
Keywords
Cite
@article{arxiv.1211.2745,
title = {The $L^2-$Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities. A heat kernel approach},
author = {Francesco Bei},
journal= {arXiv preprint arXiv:1211.2745},
year = {2013}
}
Comments
Final version. To appear on Annals of Global Analysis and Geometry