Berge's distance 3 pairs of genus 2 Heegaard splittings

Details Berge's distance 3 pairs of genus 2 Heegaard splittings Berge's distance 3 pairs of genus 2 Heegaard splittings

2010-02-25

arxiv.org/abs/1002.4887v1

Mathematics

Geometric Topology

18 pages, 8 figures

Scientific paper

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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