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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2511.03269 |
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| _version_ | 1866908774792429568 |
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| author | Nordstrom, Ville |
| author_facet | Nordstrom, Ville |
| contents | We prove a conjecture by Belmans, Fu and Krug concerning the Hochschild homology of the symmetric powers of a small dg category $\mathscr{C}$. More precisely, we show that these groups decompose into pieces that only depend on the Hochschild homology of the dg category $\mathscr{C}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A decomposition theorem for the Hochschild homology of symmetric powers of a dg category Nordstrom, Ville Category Theory Algebraic Geometry 16E40 14F08 We prove a conjecture by Belmans, Fu and Krug concerning the Hochschild homology of the symmetric powers of a small dg category $\mathscr{C}$. More precisely, we show that these groups decompose into pieces that only depend on the Hochschild homology of the dg category $\mathscr{C}$. |
| title | A decomposition theorem for the Hochschild homology of symmetric powers of a dg category |
| topic | Category Theory Algebraic Geometry 16E40 14F08 |
| url | https://arxiv.org/abs/2511.03269 |