期刊论文

E, Qiang

E, Q (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China.

Lei, Fengchun,Li, Fengling

2013-08-15

TOPOLOGY AND ITS APPLICATIONS

SCIE、Scopus

J

160

13

1611-1615

0166-8641

Heegaard splitting; Dehn surgery; s-distance

We introduce the concept of s-distance of an unstabilized Heegaard splitting. We prove if a 3-manifold admits an unstabilized genus g Heegaard splitting with s-distance m, then surgery on some (m - 1) components link may produce a 3-manifold which admits a stabilized genus g Heegaard splitting. We also give an alternative proof of the fundamental theorem of surgery theory, which states that every closed orientable 3-manifold is obtained by surgery on some link in 3-sphere. (C) 2013 Elsevier B.V. All rights reserved.