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Quasimorphisms of free products of racks and quandles
Masamitsu AOKI
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Source: Crossref
Published: Oct 1, 2026
DOI: 10.14492/hokmj/2025-154
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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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