  We prove a super-version of Nest-Tsygan's algebraic index theorem. This work
is inspired by the appearance of the same cobordism invariants in three related
stories: index theory, trace methods in the deformation theory of algebras, and
partition functions in quantum field theory. We show that one can recover the
cobordism invariant appearing in supersymmetric quantum mechanics using trace
methods for the associated deformation quantization problem.
