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math.GT2024
A note on the unknotting number and the region unknotting number of weaving knots
Ayaka Shimizu, Amrendra Gill, Sahil Joshi
A weaving knot is an alternating knot whose minimal diagram is a closed braid of a lattice-like pattern. In this paper, the warping degree of a braid diagram is defined, and upper…
math.GT2024
Non-triviality of welded knots and ribbon torus-knots
Tumpa Mahato, Rama Mishra, Sahil Joshi
In this paper we study welded knots and their invariants. We focus on generating examples of non-trivial knotted ribbon tori as the tube of welded knots that are obtained from clas…