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arXiv · 2511.11387

Invariance Properties of Davydov-Yetter Cohomology

Peter Mader
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Abstract

Davydov-Yetter (DY) cohomology is a cohomology theory for linear semigroupal (i.e.~monoidal but not necessarily categories and functors, measuring deformations of their coherence isomorphisms. We show that DY cohomology is invariant under freely adjoining a unit object, and under adjoining colimits. This implies that constructions such as Ind-completion and monoidal abelian envelope do not change the cohomology.

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Peter Mader. 2025-11-14. Invariance Properties of Davydov-Yetter Cohomology. https://arxiv.org/abs/2511.11387

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