Thompson's group $F$, tangles, and link homology
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909149498966016 |
|---|---|
| author | Krushkal, Vyacheslav Liles, Louisa Luo, Yangxiao |
| author_facet | Krushkal, Vyacheslav Liles, Louisa Luo, Yangxiao |
| contents | We extend a construction of Jones to associate $(n, n)$-tangles with elements of Thompson's group $F$ and prove that it is asymptotically faithful as $n \to\infty$. Using this construction we show that the oriented Thompson group $\vec F$ admits a lax group action on a category of Khovanov's chain complexes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16838 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thompson's group $F$, tangles, and link homology Krushkal, Vyacheslav Liles, Louisa Luo, Yangxiao Geometric Topology Group Theory Quantum Algebra We extend a construction of Jones to associate $(n, n)$-tangles with elements of Thompson's group $F$ and prove that it is asymptotically faithful as $n \to\infty$. Using this construction we show that the oriented Thompson group $\vec F$ admits a lax group action on a category of Khovanov's chain complexes. |
| title | Thompson's group $F$, tangles, and link homology |
| topic | Geometric Topology Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/2403.16838 |