Heat Determinant on Manifolds
arXiv:1408.2265 · doi:10.1016/j.geomphys.2016.02.004
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.
41 pages