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

TL;DR
This paper derives q-holonomic formulas for calculating the HOMFLY polynomials of 2-bridge links when colored with simple Young diagrams, advancing computational methods in knot theory.
Contribution
It introduces explicit q-holonomic formulas for colored HOMFLY polynomials of 2-bridge links, a novel computational approach for these invariants.
Findings
Derived explicit q-holonomic formulas for 2-bridge links
Enhanced computational techniques for colored HOMFLY polynomials
Facilitated calculations for links with specific colorings
Abstract
We compute q-holonomic formulas for the HOMFLY polynomials of 2-bridge links colored with one-column (or one-row) Young diagrams.
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