Dehn surgeries on the figure eight knot: an upper bound for the complexity

preprint2010arXivOpen access

We establish an upper bound $ω(p/q)$ on the complexity of manifolds obtained by $p/q$ -surgeries on the figure eight knot. It turns out that if $ω(p/q)\leqslant 12$ , the bound is sharp.

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Dehn surgeries on the figure eight knot: an upper bound for the complexity

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