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A locally minimal, but not globally minimal bridge position of a knot

Published 6 Mar 2012 in math.GT | (1203.1119v3)

Abstract: We give a locally minimal, but not globally minimal bridge position of a knot, that is, an unstabilized, nonminimal bridge position of a knot. It implies that a bridge position cannot always be simplified so that the bridge number monotonically decreases to the minimal.

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