3 papers
math.GT2026
A refinement of the Q-Polynomial for twisted knots
Tumpa Mahato, Prabhakar Madeti
This paper introduces a two-variable polynomial invariant for oriented twisted knots, denoted by , refining the -polynomial of N. Kamada and S. Kamada \cite{NaoS…
math.GT2026
Parametrizing some interesting knotted surfaces
Louis H. Kauffman, Tumpa Mahato, Rama Mishra
We discuss methods to construct a polynomial parametrization of some interesting knotted surfaces (knotted spheres, knotted tori and knotted planes) and provide examples.
math.GT2026
Arc shift move and region arc shift move for twisted knots
Tumpa Mahato, Prabhakar Madeti
In this paper, we study the unknotting operation for twisted knots, called arc shift move. First, we find a family of twisted knots with arc shift number for any given $n \in \…