L2 dimensions of spaces of braid-invariant harmonic forms
Functional Analysis
2015-05-30 v1 Operator Algebras
Abstract
Let X be a Riemannian manifold endowed with a co-compact isometric action of an infinite discrete group. We consider L2 spaces of harmonic vector-valued forms on the product manifold X^N, which are invariant with respect to an action of the braid group B_N, and compute their von Neumann dimensions (the braided L2- Betti numbers)
Keywords
Cite
@article{arxiv.1110.4878,
title = {L2 dimensions of spaces of braid-invariant harmonic forms},
author = {Alexei Daletskii and Alexander Kalyuzhnyi},
journal= {arXiv preprint arXiv:1110.4878},
year = {2015}
}