Inertia and delocalized twisted cohomology

Details Inertia and delocalized twisted cohomology Inertia and delocalized twisted cohomology

2006-09-20

arxiv.org/abs/math/0609576v1

Homotopy, Homology and Applications, vol 10(1), pp 129-180 (2008)

Mathematics

K-Theory and Homology

42 pages

Scientific paper

We show that the inertia stack of a topological stack is again a topological stack. We further observe that the inertia stack of an orbispace is again an orbispace. We show how a U(1)-banded gerbe over an orbispace gives rise to a flat line bundle over its inertia stack. Via sheaf theory over topological stacks it gives rise to the twisted delocalized cohomology of the orbispace. With these results and constructions we generalize concepts, which are well-known in the smooth framework, to the topological case. In the smooth case we show, that our sheaf-theoretic definition of twisted delocalized cohomology of orbispaces coincides with former definitions using a twisted de Rham complex.

Affiliated with

Also associated with

No associations

Rating

Inertia and delocalized twisted cohomology 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 Inertia and delocalized twisted cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inertia and delocalized twisted cohomology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-135342