Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256084 | Journal of Geometry and Physics | 2016 | 25 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ivan G. Avramidi, Benjamin J. Buckman,