Factorization homology of enriched $\infty$-categories
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2017
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866909196987924480 |
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| author | Ayala, David Francis, John Mazel-Gee, Aaron Rozenblyum, Nick |
| author_facet | Ayala, David Francis, John Mazel-Gee, Aaron Rozenblyum, Nick |
| contents | For an arbitrary symmetric monoidal $\infty$-category $\mathcal{V}$, we define the factorization homology of $\mathcal{V}$-enriched $(\infty,1)$-categories over (possibly stratified) 1-manifolds and study some of its basic properties. In the case of spectral enrichment, we show that the value of factorization homology on a circle is topological Hochschild homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1710_06414 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Factorization homology of enriched $\infty$-categories Ayala, David Francis, John Mazel-Gee, Aaron Rozenblyum, Nick Algebraic Topology Mathematical Physics Category Theory Quantum Algebra For an arbitrary symmetric monoidal $\infty$-category $\mathcal{V}$, we define the factorization homology of $\mathcal{V}$-enriched $(\infty,1)$-categories over (possibly stratified) 1-manifolds and study some of its basic properties. In the case of spectral enrichment, we show that the value of factorization homology on a circle is topological Hochschild homology. |
| title | Factorization homology of enriched $\infty$-categories |
| topic | Algebraic Topology Mathematical Physics Category Theory Quantum Algebra |
| url | https://arxiv.org/abs/1710.06414 |