The sigma orientation for analytic circle-equivariant elliptic cohomology

Details The sigma orientation for analytic circle-equivariant elliptic cohomology The sigma orientation for analytic circle-equivariant elliptic cohomology

2002-01-10

arxiv.org/abs/math/0201092v4

Geom. Topol. 7 (2003) 91-153

Mathematics

Algebraic Topology

Published in Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper3.abs.html

Scientific paper

We construct a canonical Thom isomorphism in Grojnowski's equivariant elliptic cohomology, for virtual T-oriented T-equivariant spin bundles with vanishing Borel-equivariant second Chern class, which is natural under pull-back of vector bundles and exponential under Whitney sum. It extends in the complex-analytic case the non-equivariant sigma orientation of Hopkins, Strickland, and the author. The construction relates the sigma orientation to the representation theory of loop groups and Looijenga's weighted projective space, and sheds light even on the non-equivariant case. Rigidity theorems of Witten-Bott-Taubes including generalizations by Kefeng Liu follow.

Affiliated with

Also associated with

No associations

Rating

The sigma orientation for analytic circle-equivariant elliptic 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 The sigma orientation for analytic circle-equivariant elliptic cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The sigma orientation for analytic circle-equivariant elliptic cohomology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-279331