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Crossing changes, Delta moves and sharp moves on welded knots

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1 Published in 2018 at "Rocky Mountain Journal of Mathematics"

DOI: 10.1216/rmj-2018-48-3-967

Abstract: We prove that the crossing changes, Delta moves, and sharp moves are unknotting operations on welded knots. read more here.

Keywords: welded knots; delta moves; changes delta; sharp moves ... See more keywords

Concordance, Crossing Changes, and Knots in Homology Spheres

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1 Published in 2019 at "Canadian Mathematical Bulletin"

DOI: 10.4153/s0008439519000791

Abstract: Abstract Any knot in $S^{3}$ can be reduced to a slice knot by crossing changes. Indeed, this slice knot can be taken to be the unknot. In this paper we study the question of when… read more here.

Keywords: knots homology; slice knot; crossing changes; homology ... See more keywords