On the map induced on Hochschild homology of matrix factorization categories by the inclusion of a divisor
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910332560080896 |
|---|---|
| author | Nordstrom, Ville |
| author_facet | Nordstrom, Ville |
| contents | Given a smooth variety $X$ over $\mathbb{C}$, a smooth divisor $i:Y\hookrightarrow X$ and a global function $f$ on $X$ which vanishes on $Y$ and on its critical locus we compute the map induced on Hochschild homology by the pushforward functor $i_*:D^b(Y)\to D^{abs}(MF(X,f))$ in terms of the Hochschild-Kostant-Rosenberg isomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10070 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the map induced on Hochschild homology of matrix factorization categories by the inclusion of a divisor Nordstrom, Ville Algebraic Geometry Given a smooth variety $X$ over $\mathbb{C}$, a smooth divisor $i:Y\hookrightarrow X$ and a global function $f$ on $X$ which vanishes on $Y$ and on its critical locus we compute the map induced on Hochschild homology by the pushforward functor $i_*:D^b(Y)\to D^{abs}(MF(X,f))$ in terms of the Hochschild-Kostant-Rosenberg isomorphisms. |
| title | On the map induced on Hochschild homology of matrix factorization categories by the inclusion of a divisor |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2402.10070 |