Berge's distance 3 pairs of genus 2 Heegaard splittings

Martin Scharlemann

doi:10.1017/s0305004111000223

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arXiv · 1002.4887

Berge's distance 3 pairs of genus 2 Heegaard splittings

Martin Scharlemann

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Abstract

Following an example discovered by John Berge, we show that there is a 4-component link L \subset (S^1 x S^2)#(S^1 x S^2) so that, generically, the result of Dehn surgery on L is a 3-manifold with two inequivalent genus 2 Heegaard splittings, and each of these Heegaard splittings is of Hempel distance 3.

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BibTeX RIS

Martin Scharlemann. 2010-02-25. Berge's distance 3 pairs of genus 2 Heegaard splittings. https://doi.org/10.1017/s0305004111000223

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