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

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

2010-07-05

arxiv.org/abs/1007.0695v1

Siberian Mathematical Journal, Vol. 52, No. 3, pp. 537-543, 2011

Mathematics

Geometric Topology

11 pages, 9 figures

Scientific paper

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

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