张明星

853

  • 副教授       硕士生导师
  • 性别:男
  • 毕业院校:大连理工大学
  • 学位:博士
  • 所在单位:数学科学学院
  • 电子邮箱:zhangmx@dlut.edu.cn

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开通时间:2025.3.31

最后更新时间:2025.3.31

HEEGAARD GENERA OF ANNULAR 3-MANIFOLDS

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论文类型:期刊论文

发表时间:2011-04-01

发表刊物:JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

收录刊物:SCIE

卷号:20

期号:4

页面范围:547-566

ISSN号:0218-2165

关键字:Heegaard genera; primitive; strongly irreducible

摘要:Let M be a compact orientable 3-manifold, and A an essential annulus which cuts M into two 3-manifolds M(1) and M(2). We denote by g(M) the Heegaard genus of M. In this paper, we will give a lower bound to g(M) when M(i) contains no bounded essential surfaces with large Euler's characteristic, where all boundary components of the essential surfaces lie in A.