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Parity criterion for unstabilized Heegaard splittings
Published online by Cambridge University Press: 16 March 2010
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