Skein recursion for holomorphic curves and invariants of the unknot
Symplectic Geometry
2021-01-01 v1 High Energy Physics - Theory
Geometric Topology
Quantum Algebra
Abstract
We determine the skein-valued Gromov-Witten partition function for a single toric Lagrangian brane in or the resolved conifold. We first show geometrically they must satisfy a certain skein-theoretic recursion, and then solve this equation. The recursion is a skein-valued quantization of the equation of the mirror curve. The solution is the expected hook-content formula.
Keywords
Cite
@article{arxiv.2012.15366,
title = {Skein recursion for holomorphic curves and invariants of the unknot},
author = {Tobias Ekholm and Vivek Shende},
journal= {arXiv preprint arXiv:2012.15366},
year = {2021}
}
Comments
10 pages