数学季刊 ›› 1998, Vol. 13 ›› Issue (4): 48-52.

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Reducible Dehn Surgery and Annular Dehn Surgery (Ⅰ)

  

  1.  Department of Mathematics,Jilin University,Changchun,130023;Computer Center of Henan Province,Zhengzhou,450003
  • 收稿日期:1997-12-11 出版日期:1998-12-30 发布日期:2024-10-16
  • 基金资助:
    Supported in part by National Natural Science Foundation of China.

Reducible Dehn Surgery and Annular Dehn Surgery (Ⅰ)

  1.  Department of Mathematics,Jilin University,Changchun,130023;Computer Center of Henan Province,Zhengzhou,450003
  • Received:1997-12-11 Online:1998-12-30 Published:2024-10-16
  • Supported by:
    Supported in part by National Natural Science Foundation of China.

摘要:  Let M be a campact,orientable,irreducible,∂-irreducible,atoroidal,anannular 3-man-i fold with one component T of ∂M a torus.Suppose that r1 and r2 are two slopes on T .In this paper,we shall prove that if M( r1) is reducible while M ( r2) contain an essential annulus,then △( r1,r2) ≤3. 

Abstract:  Let M be a campact,orientable,irreducible,∂-irreducible,atoroidal,anannular 3-man-i fold with one component T of ∂M a torus.Suppose that r1 and r2 are two slopes on T .In this paper,we shall prove that if M( r1) is reducible while M ( r2) contain an essential annulus,then △( r1,r2) ≤3. 

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