Heat Determinant on Manifolds
Mathematical Physics
2017-03-08 v1 Differential Geometry
math.MP
Abstract
We introduce and study new invariants associated with Laplace type elliptic partial differential operators on manifolds. These invariants are constructed by using the off-diagonal heat kernel; they are not pure spectral invariants, that is, they depend not only on the eigenvalues but also on the corresponding eigenfunctions in a non-trivial way. We compute the first three low-order invariants explicitly.
Keywords
Cite
@article{arxiv.1408.2265,
title = {Heat Determinant on Manifolds},
author = {Ivan G. Avramidi and Benjamin J. Buckman},
journal= {arXiv preprint arXiv:1408.2265},
year = {2017}
}
Comments
41 pages