Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. DISJOINT PAIRS OF ANNULI AND DISKS FOR HEEGAARD SPLITTINGS
2. A construction of 3-manifolds whose homeomorphism classes of Heegaard splittings have polynomial growth;Kobayashi;Osaka J. Math.,1992
3. The irreducibility of Heegaard splittings of Seifert fibered spaces
4. Thin position for knots and 3-manifolds
5. [1] Casson A. and Gordon C. Manifolds with irreducible Heegaard splittings of arbitrary large genus. Unpublished.