Riemann-Roch Theorem and Index Theorem in Non-commutative Geometry
Operator Algebras
2007-05-23 v1 K-Theory and Homology
Quantum Algebra
Representation Theory
Abstract
In this lecture we review apprearance of the Riemann-Roch Theorem in classical function theory, Algebraic topology, in theory of pseudo-differential operators and finally in noncommutative geometry. We show also it usefulness in many problem of quantization and harmonic analysis on Lie groups.
Cite
@article{arxiv.math/0211076,
title = {Riemann-Roch Theorem and Index Theorem in Non-commutative Geometry},
author = {Do Ngoc Diep},
journal= {arXiv preprint arXiv:math/0211076},
year = {2007}
}
Comments
27pages, latex, no figure