DOIAbstract
Abstract. We calculate the bridge distance for m-bridge knots/links in the 3-sphere with sufficiently complicated 2m-plat projections. In particular we show that if the underlying braid of the plat has n−1 rows of twists and all its exponents have absolute value greater than or equal to three then the distance of the bridge sphere is exactly dn/(2(m−2))e, where dxe is the smallest integer greater than or equal to x. As a corollary, we conclude that if such a diagram has more than 4m(m − 2) rows then the bridge sphere defining the plat projection is the unique minimal bridge sphere for the knot. 1
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