RiemannRochHirzebruch theorem and Topological Quantum Mechanics
Abstract
In the present paper we discuss an independent on the GrothendieckSato isomorphism approach to the RiemannRochHirzebruch formula for an arbitrary differential operator. Instead of the GrothendieckSato isomorphism, we use the Topological Quantum Mechanics (more or less equivalent to the wellknown constructions with the Massey operations from [KS], [P], [Me]). The statement that the Massey operations can "produce" the integral in some setup, has an independent from the RRH theorem interest. We finish the paper by some open questions arising when the main construction is applied to the cyclic homology (instead of the Hochschild homology).
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2004
 DOI:
 10.48550/arXiv.math/0401400
 arXiv:
 arXiv:math/0401400
 Bibcode:
 2004math......1400F
 Keywords:

 Quantum Algebra;
 Differential Geometry
 EPrint:
 24 pages, no figures, LaTeX