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

2002/11/05 by Do Ngoc Diep, Diep, Do Ngoc
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.KT #math.OA #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/0211076

27pages, latex, no figure

arxiv created 2002/11/05 · openalex publication_date 2002/11/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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