Poincar\'e duality and Langlands duality for extended affine Weyl groups
K-Theory and Homology
2017-11-29 v1 Representation Theory
Abstract
In this paper we construct an equivariant Poincar\'e duality between dual tori equipped with finite group actions. We use this to demonstrate that Langlands duality induces a rational isomorphism between the group -algebras of extended affine Weyl groups at the level of -theory.
Keywords
Cite
@article{arxiv.1711.10281,
title = {Poincar\'e duality and Langlands duality for extended affine Weyl groups},
author = {Graham A. Niblo and Roger Plymen and Nick Wright},
journal= {arXiv preprint arXiv:1711.10281},
year = {2017}
}
Comments
28 pages. This article supersedes arXiv:1512.06662