Highly Influenced

# THE HOMOLOGY OF ALGEBRAS OF PSEUDO-DIFFERENTIAL SYMBOLS AND THE NON-COMMUTATIVE RESIDUE

@inproceedings{Brylinski2002THEHO, title={THE HOMOLOGY OF ALGEBRAS OF PSEUDO-DIFFERENTIAL SYMBOLS AND THE NON-COMMUTATIVE RESIDUE}, author={Jean-Luc Brylinski and Ezra Getzler}, year={2002} }

- Published 2002

We will perform the calculation by two completely different methods, each of which has some advantages. In the first, we filter the algebra in question as in [2], and use a homogeneity argument to show that the resulting spectral sequence degenerates. From this point of view, the homology is seen to be a “semi-classical” invariant, since it is calculated at first order in Planck’s constant, as the homology of the differential forms on T ∗M with respect to the operator δ : Ω∗(T ∗M) → Ω∗−1(T ∗M… CONTINUE READING