From the 1 of 3 linked papers with an AI index.
3 papers
math-ph2026
The HOMFLY-PT polynomial and HZ factorisation
Andreani Petrou, Shinobu Hikami
The paper studies how the Harer‑Zagier transform converts the HOMFLY‑PT polynomial of certain knots into a rational function that factorises in a simple way, and shows that this HZ…
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-ph2026
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…