1201.6301 (C. G. Beneventano et al.)

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

C. G. Beneventano, P. Gilkey, K. Kirsten, E. M. Santangelo

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.

View original: http://arxiv.org/abs/1201.6301