EQUIVARIANT HEAT INVARIANTS OF THE LAPLACIAN AND NONMININMAL OPERATORS ON DIFFERENTIAL FORMS

In this paper, we compute the first two equivariant heat kernel coefficients of the Bochner Laplacian on differential forms. The first two equivariant heat kernel coeffi- cients of the Bochner Laplacian with torsion are also given. We also study the equivariant heat kernel coefficients of nonminimal operators on differential forms and get the equivari- ant Gilkey-Branson-Fulling formula.