Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500009 | Journal of Geometry and Physics | 2017 | 29 Pages |
Abstract
For an elliptic selfadjoint operator P=â[uμνâμâν+vνâν+w] acting on a fiber bundle over a compact Riemannian manifold, where uμν,vμ,w are NÃN-matrices, we develop a method to compute the heat-trace coefficients ar which allows to get them by a pure computational machinery. It is exemplified in any even dimension by the value of a1 written both in terms of uμν=gμνu,vμ,w or diffeomorphic and gauge invariants. We also address the question: when is it possible to get explicit formulae for ar?
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
B. Iochum, T. Masson,