Irregular smoothing and the number of Reidemeister moves (1103.5173v1)

Published 26 Mar 2011 in math.GT

Abstract: In the previous paper, we considered a link diagram invariant of Hass and Nowik type using regular smoothing and unknotting number, to estimate the number of Reidemeister moves needed for unlinking. In this paper, we introduce a new link diagram invariant using irregular smoothing, and give an example of a knot diagram of the unknot for which the new invariant gives a better estimation than the old one.

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