Abstract
Vogel showed that any oriented link diagram $D$ can be deformed to a closed braid by a finite sequence of Reidemeister II moves, each performed on two coherently oriented edges in a face of $D$ such that the edges are contained in distinct Seifert circles. We show that the number of such moves is constant for a given oriented link diagram, and does not depend on the sequence of moves. An easy way of calculating the number is given.
Citation
Chuichiro HAYASHI. Hiroko SAEKI. "The Number of Vogel Operations to Deform a Link Diagram to a Closed Braid." Tokyo J. Math. 28 (2) 299 - 307, December 2005. https://doi.org/10.3836/tjm/1244208192
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