Algebraic & Geometric Topology 11 (2011) 1781–1792

DOI: 10.2140/agt.2011.11.1781

Abstract

A gap in [H Rubinstein, M Scharlemann, Genus two Heegaard splittings of orientable 3–manifolds, in “Proceedings of the Kirbyfest”, Geom. Topol. Monogr. 2 (1999) 489–553] is explored: new examples are found of closed orientable 3–manifolds with possibly multiple genus 2 Heegaard splittings. Properties common to all the examples in that paper are not universally shared by the new examples: some of the new examples have Hempel distance 3, and it is not clear that a single stabilization always makes the multiple splittings isotopic.

Keywords

Heegaard splittings, Hempel distance

Mathematical Subject Classification

Primary: 57M15, 57N10

References

Publication

Received: 10 May 2010
Revised: 11 April 2011
Accepted: 13 April 2011
Published: 3 June 2011

Authors