Torus knots and generalized Schröder paths

We relate invariants of torus knots to the counts of a class of lattice paths, which we call generalized Schröder paths. We determine generating functions of such paths, located in a region determined by a type of a torus knot under consideration, and show that they encode colored HOMFLY-PT polynomi...

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Bibliographic Details
Main Authors: Marko Stošić, Piotr Sułkowski
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321325000240
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