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arXiv · 2302.02760

On the geometry and bounded cohomology of racks and quandles

Jarek Kędra
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Abstract

We introduce and investigate a natural family of metrics on connected components of a rack. The metrics are closely related to certain bi-invariant metrics on the group of inner automorphisms of the rack. We also introduce a bounded cohomology of racks and quandles, relate them to the above metrics and prove a certain vanishing result for racks and quandles with amenable group of inner automorphisms.

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Jarek Kędra. 2023-02-06. On the geometry and bounded cohomology of racks and quandles. https://arxiv.org/abs/2302.02760

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