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
来源：
MATHEMATISCHE ANNALEN | 2009年 / 345卷 / 03期
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.
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页码：581 / 597
页数：17
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