Invariance Properties of Davydov-Yetter Cohomology
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909902404845568 |
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| author | Mader, Peter |
| author_facet | Mader, Peter |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11387 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariance Properties of Davydov-Yetter Cohomology Mader, Peter Category Theory 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. |
| title | Invariance Properties of Davydov-Yetter Cohomology |
| topic | Category Theory |
| url | https://arxiv.org/abs/2511.11387 |