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Berge's distance 3 pairs of genus 2 Heegaard splittings

Published online by Cambridge University Press:  27 April 2011

MARTIN SCHARLEMANN
MARTIN SCHARLEMANN*
Affiliation:
Department of Mathematics, University of California, Santa Barbara, CA 93106U.S.A e-mail: mgscharl@math.ucsb.edu
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Abstract

Following an example discovered by John Berge [2], we show that there is a 4-component link L ⊂ (S1 × S2)#(S1 × S2) 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 151 , Issue 2 , September 2011 , pp. 293 - 306
Copyright
Copyright © Cambridge Philosophical Society 2011

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References

REFERENCES

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