E. A. Fominykh, “Dehn surgeries on the figure eight knot: an upper bound for complexity”, Sibirsk. Mat. Zh., 2011, Volume 52, Number 3,Pages <nobr>680

This article is cited in 7 papers

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

E. A. Fominykh^ab

^a Chelyabinsk State University, Chelyabinsk
^b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: We establish an upper bound $\omega(p/q)$ on the complexity of the manifolds obtained by $p/q$-surgeries on the figure eight knot. It turns out that in case $\omega(p/q)\le12$ the bound is sharp.

Keywords: Dehn surgery, figure eight knot, complexity.

UDC: 515.162

Received: 22.06.2010