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
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 \…
math.GR2025
The monoid structure of singular twisted virtual braids
Prabhakar Madeti, Komal Negi
In this paper, we examine specific submonoids within the singular twisted virtual braid monoid . Notably, we establish that the singular twisted virtual pure braid monoid $…