Index theory and Groupoids

Details Index theory and Groupoids Index theory and Groupoids

2008-01-23

arxiv.org/abs/0801.3617v2

Geometric and Tological methods for quantum fields theory, H. Ocampo, E. Pariguan, S. Paycha (Ed.) (2010) 86-158

Mathematics

Operator Algebras

Scientific paper

This paper collects the notes of a serie of lectures given by the two authors during the summer school "Geometric and topological methods for Quantum Field Theory" at Villa de Leyva, Colombia, summer 2007. These lecture notes are mainly devoted to a proof using groupoids and $KK$-theory of Atiyah-Singer index theorem on compact smooth manifolds. We will present an elementary introduction to groupoids, $C^*$-algebras, $KK$-theory and pseudodifferential calculus on groupoids. We will finish by showing that the point of view adopted here generalizes to the case of conical pseudo-manifolds.

Affiliated with

Also associated with

No associations

Rating

Index theory and Groupoids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Index theory and Groupoids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Index theory and Groupoids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183918