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- W1619157788 startingPage "3361" @default.
- W1619157788 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 $lceil n/(2(m - 2)) rceil$, where $lceil x rceil$ 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." @default.
- W1619157788 created "2016-06-24" @default.
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- W1619157788 date "2016-12-15" @default.
- W1619157788 modified "2023-09-23" @default.
- W1619157788 title "Bridge distance and plat projections" @default.
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- W1619157788 doi "https://doi.org/10.2140/agt.2016.16.3361" @default.
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