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Parity criterion for unstabilized Heegaard splittings

Published online by Cambridge University Press:  16 March 2010

JUNG HOON LEE
JUNG HOON LEE*
Affiliation:
School of Mathematics, KIAS, 207-43, Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, Korea. e-mail: jhlee@kias.re.kr
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Abstract

We give a parity condition of a Heegaard diagram implying that it is unstabilized. As applications, we show that Heegaard splittings of 2-fold branched coverings of n-component, n-bridge links in S3 are unstabilized, and we also construct unstabilized Heegaard splittings by Dehn twists on any given Heegaard splitting.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 149 , Issue 1 , July 2010 , pp. 115 - 125
Copyright
Copyright © Cambridge Philosophical Society 2010

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References

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