On the Hochschild Homology of Curved Algebras
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913478649839616 |
|---|---|
| author | Briggs, Benjamin Walker, Mark E. |
| author_facet | Briggs, Benjamin Walker, Mark E. |
| contents | We compute the Hochschild homology of the differential graded category of perfect curved modules over suitable curved rings, giving what might be termed "de Rham models" for such. This represents a generalization of previous results by Dyckerhoff, Efimov, Polishchuk, and Positselski concerning the Hochschild homology of matrix factorizations. A key ingredient in the proof is a theorem due to B. Briggs, which represents a "curved version" of a celebrated theorem of Hopkins and Neeman. The proof of Briggs' Theorem is included in an appendix to this paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13334 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Hochschild Homology of Curved Algebras Briggs, Benjamin Walker, Mark E. K-Theory and Homology 13D03, 13D09, 14F08 We compute the Hochschild homology of the differential graded category of perfect curved modules over suitable curved rings, giving what might be termed "de Rham models" for such. This represents a generalization of previous results by Dyckerhoff, Efimov, Polishchuk, and Positselski concerning the Hochschild homology of matrix factorizations. A key ingredient in the proof is a theorem due to B. Briggs, which represents a "curved version" of a celebrated theorem of Hopkins and Neeman. The proof of Briggs' Theorem is included in an appendix to this paper. |
| title | On the Hochschild Homology of Curved Algebras |
| topic | K-Theory and Homology 13D03, 13D09, 14F08 |
| url | https://arxiv.org/abs/2408.13334 |