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Bibliographic Details
Main Authors:	Gahramanov, Ilmar, Öztürk, Sinan Ulaş, Turhan, Uveys
Format:	Preprint
Published:	2025
Subjects:	Geometric Topology High Energy Physics - Theory Mathematical Physics
Online Access:	https://arxiv.org/abs/2510.20999
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Table of Contents:

In this work, we develop new Bailey pairs for the pentagon identity satisfied by the tetrahedron index, expressible in terms of $q$-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.