Geodesic
Multiple genus 2 Heegaard splittings: a missed case
Berge, John1 ; Scharlemann, Martin2
1Independent, Madison 53711 Wisconsin, USA
2Department of Mathematics, University of California, Santa Barbara CA 93106, USA
Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1781-1792
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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.

DOI : 10.2140/agt.2011.11.1781
Keywords: Heegaard splittings, Hempel distance

Berge, John  1   ; Scharlemann, Martin  2

1 Independent, Madison 53711 Wisconsin, USA
2 Department of Mathematics, University of California, Santa Barbara CA 93106, USA 
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Berge, John; Scharlemann, Martin. Multiple genus 2 Heegaard splittings: a missed case. Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1781-1792. doi: 10.2140/agt.2011.11.1781

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