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

Evgeny Fominykh

Published 2010-07-05Version 1

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.