Multiple genus 2 Heegaard splittings: a missed case

作者:Berge John*; Scharlemann Martin
来源:Algebraic and Geometric Topology, 2011, 11(3): 1781-1792.
DOI:10.2140/agt.2011.11.1781

摘要

A gap in a paper by Rubinstein and the second author [5] 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.

  • 出版日期2011