Nonisomorphic Lefschetz fibrations on knot surgery 4-manifolds

被引:7
|
作者
Park, Jongil [3 ]
Yun, Ki-Heon [1 ,2 ]
机构
[1] Sungshin Womens Univ, Dept Math, Seoul 136742, South Korea
[2] Sungshin Womens Univ, Basic Sci Res Inst, Seoul 136742, South Korea
[3] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
关键词
LINKS;
D O I
10.1007/s00208-009-0366-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article we construct an infinite family of simply connected minimal symplectic 4-manifolds, each of which admits at least two nonisomorphic Lefschetz fibration structures with the same generic fiber. We obtain such examples by performing knot surgery on an elliptic surface E(n) using a special type of 2-bridge knots.
引用
收藏
页码:581 / 597
页数:17
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