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Bibliographic Details
Main Author: Aoki, Masamitsu
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.14752
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Table of Contents:
  • 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.