Double twist knots and lattice paths
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913087278284800 |
|---|---|
| author | Dwivedi, Aditya Pichai, Ramadevi |
| author_facet | Dwivedi, Aditya Pichai, Ramadevi |
| contents | In this work, we explore the combinatorics arising from the quiver generating series of the unreduced $r$-colored HOMFLY-PT polynomial $\bar{P}_r(a,q)$ for some twist-knots and double twist knots. By taking the limit $a = 0$ and $q = 1$, we indeed obtain lattice path models for these knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02786 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Double twist knots and lattice paths Dwivedi, Aditya Pichai, Ramadevi Geometric Topology High Energy Physics - Theory Mathematical Physics In this work, we explore the combinatorics arising from the quiver generating series of the unreduced $r$-colored HOMFLY-PT polynomial $\bar{P}_r(a,q)$ for some twist-knots and double twist knots. By taking the limit $a = 0$ and $q = 1$, we indeed obtain lattice path models for these knots. |
| title | Double twist knots and lattice paths |
| topic | Geometric Topology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2605.02786 |