Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections

Details Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections

2012-01-30

arxiv.org/abs/1201.6301v1

Mathematics

Analysis of PDEs

14 pages

Scientific paper

We examine the local super trace asymptotics for the de Rham complex defined
by an arbitrary super connection on the exterior algebra. We show, in contrast
to the situation in which the connection in question is the Levi-Civita
connection, that these invariants are generically non-zero in positive degree
and that the critical term is not the Pfaffian.

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