Siberian Mathematical Journal

, Volume 52, Issue 3, pp 537–543 | Cite as

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

Article

Abstract

We establish an upper bound ω(p/q) on the complexity of the manifolds obtained by p/qsurgeries on the figure eight knot. It turns out that in case ω(p/q) ⩽ 12 the bound is sharp.

Keywords

Dehn surgery figure eight knot complexity 

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Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Chelyabinsk State UniversityChelyabinskRussia
  2. 2.Institute of Mathematics and MechanicsEkaterinburgRussia

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