3 papers
math.GT2026
A TQFT-based Platform for Efficient Computation of Knot Invariants
Amena Al Rawi, Hisham Sati, Vivek Kumar Singh
We present an interactive web platform that unifies the construction Feynman ribbon diagrams (FRDs), the evaluation of higher-rank Chern--Simons knot invariants, and the identifica…
hep-th2025
Torus Knots in Adjoint Representation
Andrei Mironov, Vivek Kumar Singh
We derive a closed-form expression for the adjoint polynomials of torus knots and investigate their special properties. The results are presented in the very explicit double sum fo…
math.GT2025
Panhandle polynomials of torus links and geometric applications
Andrei Mironov, Hisham Sati, Vivek Kumar Singh +1
We use a decomposition of the tensor of the fundamental representation of the quantum group and the Rosso-Jones formula to establish a peculiar ``panhandle''…