Proves the Gang-Kim-Yoon integrality conjecture for adjoint Reidemeister torsions of all torus knots by defining Verlinde numbers via the modular S-matrix and establishing their recursion relations.
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math.GT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The limit a=0, q=1 of the quiver series for the r-colored HOMFLY-PT polynomials of twist and double twist knots yields explicit lattice path models.
citing papers explorer
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Gang-Kim-Yoon integrality conjectures on adjoint Reidemeister torsions for torus knots
Proves the Gang-Kim-Yoon integrality conjecture for adjoint Reidemeister torsions of all torus knots by defining Verlinde numbers via the modular S-matrix and establishing their recursion relations.
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Double twist knots and lattice paths
The limit a=0, q=1 of the quiver series for the r-colored HOMFLY-PT polynomials of twist and double twist knots yields explicit lattice path models.