Riemann-Roch Theorem and Index Theorem in Non-commutative Geometry

Details Riemann-Roch Theorem and Index Theorem in Non-commutative Geometry Riemann-Roch Theorem and Index Theorem in Non-commutative Geometry

2002-11-05

arxiv.org/abs/math/0211076v1

Mathematics

Operator Algebras

27pages, latex, no figure

Scientific paper

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.

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