Double twist knots and lattice paths
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.
Authors
- Pichai Ramadevi (ORCID: https://orcid.org/0000-0003-4331-8222)
- Aditya Dwivedi
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2026-10-16
- DOI
- https://doi.org/10.1103/khz5-927q
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00