Geometry and topology

Application of geometric symbol calculus to computing heat invariants

V. A. Sharafutdinov<sup>ab

a</sup> Novosibirsk State University, Pirogova, 2, 630090, Novosibirsk, Russia
^b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia

Abstract: The problem of evaluating heat invariants can be computerized. Geometric symbol calculus for pseudodifferential operators serves as the main tool of such computerization.

Keywords: heat invariants, spectral geometry, geometric symbol calculus, exterior differential forms.

UDC: 517.954

MSC: 58J35

Received March 11, 2016, published June 8, 2016

DOI: 10.17377/semi.2016.13.042