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On certain classes of links and $3$-manifolds

김양곡|김수환
대한수학회 (The Korean Mathematical Society)|2005.10|대한수학회논문집 (Communications of the KMS)|제20권 제4호|pp. 803-812

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주제분류수학

초록

Abstract

We construct an in.nite family of closed 3-manifolds M(2m+1, n, k) which are identi.cation spaces of certain polyhedra P(2m+1, n, k), for integers m ≥ 1;n ≥ 3, and k ≥ 2. We prove that they are (n=d)-fold cyclic coverings of the 3-sphere branched over certain links L(m;d), where d = gcd(n, k), by handle decomposition of orbifolds. This generalizes the results in [3] and [2] as a particular case m =2.

참고문헌 (6)

  1. "Heegaard splittings of branched coverings of S3", 213, pp.315~352 (1975)
  2. "On certain classes of hyperbolic 3-manifolds", 101, pp.457~494 (2000)
  3. "Mennicke, Some honey-combs in hyperbolic 3 space", 23, pp.5169~5206 (1995)
  4. "Symmery groups of hyperbolic knots and links", 1, pp.185~201 (1992)
  5. "A textbook of topology" (1980), H. Seifert and W. Threlfall Academic Press Inc.
  6. "On cyclic branched coverings of hyperbolic links", 65, pp.287~294 (1995)

관련 논문AI추천

On infinite classes of genus two 1-bridge knots김수환, Yangkok Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Toroidal Manifolds and Dehn Fillings on LinksNabil Sayari경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호Crosscap Numbers of Two -component LinksGengyu Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제2호A note on indecomposable 4-manifolds조용승, 홍윤희대한수학회 · 대한수학회보2005 · 제42권 제4호The Seifert Matrices of Periodic Links with Rational Quotients서명수, 이상율, Maeng-Sang Park경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호Dehn surgery and SA$-ploynomial for knots김진홍대한수학회 · 대한수학회보2006 · 제43권 제3호

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