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arXiv · 1110.4878

L2 dimensions of spaces of braid-invariant harmonic forms

Alexei Daletskii·Alexander Kalyuzhnyi
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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)

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Alexei Daletskii, Alexander Kalyuzhnyi. 2011-10-21. L2 dimensions of spaces of braid-invariant harmonic forms. https://doi.org/10.1016/j.geomphys.2011.10.023

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