L2 dimensions of spaces of braid-invariant harmonic forms

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Daletskii, Alexei¹  Kalyuzhnyi, Alexander² 

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[2] NAS, Inst Math, Kiev, Ukraine

关键词: Braid group;    L-2-Betti number;    Configuration space;   

DOI  :  10.1016/j.geomphys.2011.10.023

来源: Elsevier

【 摘 要 】

Let X be a Riemannian manifold endowed with a co-compact isometric action of an infinite discrete group. We consider L-2 spaces of harmonic vector-valued forms on the product manifold X-N that are invariant with respect to an action of the braid group B-N, and compute their von Neumann dimensions (the braided L-2-Betti numbers). (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free