L2 dimensions of spaces of braid-invariant harmonic forms
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 XN, which are invariant with respect to an action of the braid group BN, and compute their von Neumann dimensions (the braided L2- Betti numbers)
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