3 papers
math.GT2020
An unknotting invariant for welded knots
K. Kaur, A. Gill, M. Prabhakar +1
We study a local twist move on welded knots that is an analog of the virtualization move on virtual knots. Since this move is an unknotting operation we define an invariant, unknot…
math.GT2019
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves
Amrendra Gill, Madeti Prabhakar, Andrei Vesnin
Gordian complex of knots was defined by Hirasawa and Uchida as the simplicial complex whose vertices are knot isotopy classes in . Later Horiuchi and Ohyama defined G…
math.GT2018
Arc shift number and region arc shift number for virtual knots
K. Kaur, A. Gill, M. Prabhakar
In this paper, we formulate a new local move on virtual knot diagram, called arc shift move. Further, we extend it to another local move called region arc shift defined on a region…