TY - JOUR
T1 - The distance between two separating, reducing slopes is at most 4
AU - Zhang, Mingxing
AU - Qiu, Ruifeng
AU - Li, Yannan
PY - 2007/12
Y1 - 2007/12
N2 - Let M be a simple 3-manifold such that one component of ∂M, say F, has genus at least two. For a slope α on F, we denote by M(α) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of α on F. If M(α) is reducible, then α is called a reducing slope. In this paper, we shall prove that the distance between two separating, reducing slopes on F is at most 4.
AB - Let M be a simple 3-manifold such that one component of ∂M, say F, has genus at least two. For a slope α on F, we denote by M(α) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of α on F. If M(α) is reducible, then α is called a reducing slope. In this paper, we shall prove that the distance between two separating, reducing slopes on F is at most 4.
UR - https://www.scopus.com/pages/publications/34748892385
U2 - 10.1007/s00209-007-0147-y
DO - 10.1007/s00209-007-0147-y
M3 - 文章
AN - SCOPUS:34748892385
SN - 0025-5874
VL - 257
SP - 799
EP - 810
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 4
ER -