Double twist knots and lattice paths
Geometric Topology
2026-05-05 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this work, we explore the combinatorics arising from the quiver generating series of the unreduced -colored HOMFLY-PT polynomial for some twist-knots and double twist knots. By taking the limit and , we indeed obtain lattice path models for these knots.
Keywords
Cite
@article{arxiv.2605.02786,
title = {Double twist knots and lattice paths},
author = {Aditya Dwivedi and Ramadevi Pichai},
journal= {arXiv preprint arXiv:2605.02786},
year = {2026}
}