Translator Disclaimer
2011 Multiple genus 2 Heegaard splittings: a missed case
John Berge, Martin Scharlemann
Algebr. Geom. Topol. 11(3): 1781-1792 (2011). 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.

Citation

Download Citation

John Berge. Martin Scharlemann. "Multiple genus 2 Heegaard splittings: a missed case." Algebr. Geom. Topol. 11 (3) 1781 - 1792, 2011. https://doi.org/10.2140/agt.2011.11.1781

Information

Received: 10 May 2010; Revised: 11 April 2011; Accepted: 13 April 2011; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1232.57020
MathSciNet: MR2821441
Digital Object Identifier: 10.2140/agt.2011.11.1781

Subjects:
Primary: 57M15, 57N10

Rights: Copyright © 2011 Mathematical Sciences Publishers

JOURNAL ARTICLE
12 PAGES


SHARE
Vol.11 • No. 3 • 2011
MSP
Back to Top