Kyungpook Mathematical Journal

  • 제45권4호
  • /
  • Pages.549-559
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  • 2005
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

An-annular Complexes in 3-manifolds

  • Rieck, Yo'av (Department of Mathematical Sciences, University of Arkansas)
  • 투고 : 2004.05.01
  • 발행 : 2005.12.23
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초록

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]).

키워드

과제정보

연구 과제 주관 기관 : JSPS

참고문헌

  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