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arXiv · 2404.14752

Quasimorphisms of free products of racks and quandles

Masamitsu Aoki
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Abstract

We show that the second bounded cohomology of the free product of racks and quandles is infinite-dimensional as a real vector space. This is similar to the case of groups. As a corollary, we show that the second bounded cohomology of the free rack and the free quandle is infinite-dimensional. We also give another proof of this corollary using homogeneous group quasimorphisms.

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Masamitsu Aoki. 2024-04-23. Quasimorphisms of free products of racks and quandles. https://arxiv.org/abs/2404.14752

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