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