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.

引用

页码：581 / 597

页数：17

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