Noncommutative Geometry Alain Connes
Introduction The correspondence between geometric spaces and commutative algebras is a familiar and basic idea of algebraic geometry. The purpose of …
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The Longitudinal Index Theorem for Foliations
www.alainconnes.orgof an immersion, one gets that in all cases the map K(X) →K(Y) given by f! coincides with the classical wrong way map in K-theory. This statement is …
arXiv:hep-th/0605011 v3 20 Jun 2006 - Alain Connes
www.alainconnes.orgarXiv:hep-th/0605011 v3 20 Jun 2006 INNER FLUCTUATIONS OF THE SPECTRAL ACTION ALAIN CONNES AND ALI H. CHAMSEDDINE Abstract. We prove in the general framework of noncommutative geometry that the inner fluc-
Hopf Algebras, Renormalization and …
www.alainconnes.orgarXiv:hep-th/9808042 v1 7 Aug 1998 Hopf Algebras, Renormalization and Noncommutative Geometry Alain CONNES IHES Dirk KREIMER Mainz Univ. August 1998, IHES/M/98/60
Introduction - Alain Connes
www.alainconnes.orgNONCOMMUTATIVE GEOMETRY AND PHYSICS ALAIN CONNES 1. Introduction The two existing theories which successfully encode our knowledge of space-time are :
A VIEW OF MATHEMATICS Alain CONNES
www.alainconnes.orgA VIEW OF MATHEMATICS Alain CONNES Mathematics is the backbone of modern science and a remarkably e cient source of new concepts and tools to understand the \reality" in which we participate.