Cyclic brace relation and BV structure on open-closed Hochschild cohomology
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909889805156352 |
|---|---|
| author | Yuan, Hang |
| author_facet | Yuan, Hang |
| contents | For an open-closed homotopy algebra (OCHA), the previous work indicates that there is an open-closed version of Hochschild cohomology with a canonical Gerstenhaber algebra structure. If this OCHA is further cyclic and unital in the sense of Kajiura and Stasheff, we produce a BV algebra structure on this cohomology via a cochain-level identity formulated with cyclic brace operations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04095 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cyclic brace relation and BV structure on open-closed Hochschild cohomology Yuan, Hang Quantum Algebra High Energy Physics - Theory Mathematical Physics Algebraic Topology For an open-closed homotopy algebra (OCHA), the previous work indicates that there is an open-closed version of Hochschild cohomology with a canonical Gerstenhaber algebra structure. If this OCHA is further cyclic and unital in the sense of Kajiura and Stasheff, we produce a BV algebra structure on this cohomology via a cochain-level identity formulated with cyclic brace operations. |
| title | Cyclic brace relation and BV structure on open-closed Hochschild cohomology |
| topic | Quantum Algebra High Energy Physics - Theory Mathematical Physics Algebraic Topology |
| url | https://arxiv.org/abs/2511.04095 |