Bounded 3-manifolds with Distance n Heegaard Splittings

被引:1
|
作者
ZOU YAN-QING [1 ]
LIU XI-MIN [1 ]
Lei Feng-chun [1 ]
机构
[1] School of Mathematical Sciences,Dalian University of Technology
关键词
attaching compression body; Heegaard distance; subsurface projection;
D O I
10.13447/j.1674-5647.2014.03.01
中图分类号
O186.12 [黎曼几何];
学科分类号
070104 ;
摘要
We prove that for any integer n > 2 and g > 2,there are bounded3-manifolds admitting distance n,genus g Heegaard splittings with any given boundaries.
引用
收藏
页码:193 / 200
页数:8
相关论文
共 50 条
  • [41] HEEGAARD GENERA OF ANNULAR 3-MANIFOLDS
    Du, Kun
    Ma, Jiming
    Qiu, Ruifeng
    Zhang, Mingxing
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2011, 20 (04) : 547 - 566
  • [42] The Heegaard genus of amalgamated 3-manifolds
    Lackenby, M
    GEOMETRIAE DEDICATA, 2004, 109 (01) : 139 - 145
  • [43] On the Heegaard genus of contact 3-manifolds
    Ozbagci, Burak
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (04): : 752 - 756
  • [44] The Heegaard Genus of Amalgamated 3-Manifolds
    Marc Lackenby
    Geometriae Dedicata, 2004, 109 : 139 - 145
  • [45] Heegaard splittings of graph manifolds
    Artal Bartolo, Enrique
    Isaza Penaloza, Simon
    Marco-Buzunariz, Miguel A.
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 198 (03) : 727 - 747
  • [46] Heegaard splittings of graph manifolds
    Enrique Artal Bartolo
    Simón Isaza Peñaloza
    Miguel Á. Marco-Buzunáriz
    Annali di Matematica Pura ed Applicata (1923 -), 2019, 198 : 727 - 747
  • [47] Heegaard splittings of graph manifolds
    Schultens, J
    GEOMETRY & TOPOLOGY, 2004, 8 : 831 - 876
  • [48] Minimal Heegaard genus of amalgamated 3-manifolds
    Du, Kun
    Qiu, Ruifeng
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2017, 26 (11)
  • [49] RELATING HEEGAARD AND SURGERY PRESENTATIONS FOR 3-MANIFOLDS
    CRAGGS, RF
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (06): : A617 - A617
  • [50] HEEGAARD FLOER HOMOLOGY AND FIBRED 3-MANIFOLDS
    Ni, Yi
    AMERICAN JOURNAL OF MATHEMATICS, 2009, 131 (04) : 1047 - 1063