Orbifold index and equivariant K-homology

Details Orbifold index and equivariant K-homology Orbifold index and equivariant K-homology

2007-01-26

arxiv.org/abs/math/0701768v3

Mathematics

K-Theory and Homology

minor correction in Sec.3.3

Scientific paper

We consider a invariant Dirac operator D on a manifold with a proper and cocompact action of a discrete group G. It gives rise to an equivariant K-homology class [D]. We show how the index of the induced orbifold Dirac operator can be calculated from [D] via the assembly map. We further derive a formula for this index in terms of the contributions of finite cyclic subgroups of G. According to results of W. Lueck, the equivariant K-homology can rationally be decomposed as a direct sum of contributions of finite cyclic subgroups of G. Our index formula thus leads to an explicit decomposition of the class [D].

Affiliated with

Also associated with

No associations

Rating

Orbifold index and equivariant K-homology 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 Orbifold index and equivariant K-homology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orbifold index and equivariant K-homology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-568466