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Heat Determinant on Manifolds (1408.2265v1)
Published 10 Aug 2014 in math-ph, math.DG, and 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.