Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
권호 표지

An-annular Complexes in 3-manifolds

  • Rieck, Yo'av (Department of Mathematical Sciences, University of Arkansas)
  • Received : 2004.05.01
  • Published : 2005.12.23
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Abstract

Given a non-Haken, non Seifert fibred manifold we describe an algorithm that takes 2 (not necessarily distinct) Heegaard surfaces and produces a complex with certain useful properties (Properties 5.1). Our main tool is Rubinstein and Scharlemann's Cerf theoretic work ([5]).

Keywords

Acknowledgement

Supported by : JSPS

References

  1. Topology Appl. v.27 no.3 Reducing Heegaard splittings Casson, A.J.;Gordon, C.McA
  2. Ann. of Math. Studies v.86 3-Manifolds Hempel, John
  3. Topology Appl. v.138 no.1-3 Local detection of strongly irreducible Heegaard splittings via knot exteriors Kobayashi, Tsuyoshi;Rieck, Yo'av
  4. Invariant heegaard surfaces for manifolds with involutions Rieck, Yo'av;Rubinstein, Hyam
  5. Topology v.35 no.4 Comparing Heegaard splittings of non-Haken 3-manifolds Rubinstein, Hyam;Scharlemann, Martin