Almost complex structure on finite points from bidirected graphs
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913379357032448 |
|---|---|
| author | Joardar, Soumalya Rahaman, Atibur |
| author_facet | Joardar, Soumalya Rahaman, Atibur |
| contents | We show that there is an almost complex structure on a differential calculus on finite points coming from a bidirected finite graph without multiple edges or loops. We concentrate on a polygon as a concrete case. In particular, a `holomorphic structure on the exterior bundle' built from the polygon is studied. Also a positive Hochschild 2-cocycle on the vertex set of the polygon, albeit a trivial one, is shown to arise naturally from the almost complex structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11034 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Almost complex structure on finite points from bidirected graphs Joardar, Soumalya Rahaman, Atibur Quantum Algebra 46L87, 05C25 We show that there is an almost complex structure on a differential calculus on finite points coming from a bidirected finite graph without multiple edges or loops. We concentrate on a polygon as a concrete case. In particular, a `holomorphic structure on the exterior bundle' built from the polygon is studied. Also a positive Hochschild 2-cocycle on the vertex set of the polygon, albeit a trivial one, is shown to arise naturally from the almost complex structure. |
| title | Almost complex structure on finite points from bidirected graphs |
| topic | Quantum Algebra 46L87, 05C25 |
| url | https://arxiv.org/abs/2311.11034 |