Thom Prospectra for Loopgroup representations
代数拓扑
2007-05-23 v1
摘要
We construct an S^1-equivariant prospectrum that models the Atiyah dual of a free loop space of a manifold. By applying a suitably completed S^1-equivariant K-theory to the Atiyah dual, we show how to recover the Witten genus of the manifold. The main technical tool is a Tits building for the loop group. We use this building to construct a dualizing spectrum for the loop group and relate it to work of Freed, Hopkins and Teleman.
引用
@article{arxiv.math/0404541,
title = {Thom Prospectra for Loopgroup representations},
author = {Nitu Kitchloo and Jack Morava},
journal= {arXiv preprint arXiv:math/0404541},
year = {2007}
}