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A commutator method for computation of heat invariants

Iosif Polterovich
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Abstract

We introduce a new method for computing the heat invariants of a 2-dimensional Riemannian manifold based on a result by S.Agmon and Y.Kannai. Two explicit expressions for the heat invariants are presented. The first one depends on the choice of a certain coordinate system; the second involves only invariant terms but has some restrictions on its validity, though in a ``generic'' case it is well-defined.

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Iosif Polterovich. 1998-07-07. A commutator method for computation of heat invariants. https://arxiv.org/abs/math/9805047

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