3 papers
hep-th2026
A relation between the HOMFLY-PT and Kauffman polynomials via characters
Andreani Petrou, Shinobu Hikami
The HOMFLY-PT and Kauffman polynomials are related to each other for special classes of knots constructed by full twists and Jucys-Murphy twists. The conditions for this relation a…
math-ph2025
Braid twists and HZ factorisation via character expansion
Andreani Petrou, Shinobu Hikami
The HOMFLY-PT polynomial of a closed braid admits a character expansion, expressed as a sum of SU(N) characters over Young diagrams. The Harer-Zagier (HZ) transform, which converts…
math-ph2024
The HOMFLY-PT polynomial and HZ factorisation
Andreani Petrou, Shinobu Hikami
The Harer-Zagier (HZ) transform maps the HOMFLY-PT polynomial into a rational function. For some special knots and links, the latter admits a simple factorised form, which is refer…