Bailey Pairs for the Tetrahedron Index
Geometric Topology
2025-10-27 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this work, we develop new Bailey pairs for the pentagon identity satisfied by the tetrahedron index, expressible in terms of -series. Since the tetrahedron index underlies topological invariants of 3-manifolds and related knots, our construction may offer a new framework to deriving knot invariants through the Bailey chain.
Cite
@article{arxiv.2510.20999,
title = {Bailey Pairs for the Tetrahedron Index},
author = {Ilmar Gahramanov and Sinan Ulaş Öztürk and Uveys Turhan},
journal= {arXiv preprint arXiv:2510.20999},
year = {2025}
}
Comments
6 pages