q-holonomic formulas for colored HOMFLY polynomials of 2-bridge links

Abstract

We compute q-holonomic formulas for the HOMFLY polynomials of 2-bridge links colored with one-column (or one-row) Young diagrams.

5 pages, Wolfram Mathematica implementation available at https://www.dpmms.cam.ac.uk/~pw360/

References in corpus (6)

• Super $q$-Howe duality and web categories
• The colored HOMFLYPT function is $q$-holonomic
• On a proof of the Labastida-Marino-Ooguri-Vafa conjecture
• The colored HOMFLY polynomial is q-holonomic
• Categorified sl(N) invariants of colored rational tangles
• On the formulae for the colored HOMFLY polynomials

Cited by in corpus (3)

• BPS counting for knots and combinatorics on words
• Rational links and DT invariants of quivers
• Tangle addition and the knots-quivers correspondence