Fundamental groups of complements of plane curves and symplectic invariants

被引：27

作者：

Auroux, D

Donaldson, SK

Katzarkov, L

Yotov, M

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England

[3] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

TOPOLOGY | 2004年 / 43卷 / 06期

关键词：

fundamental groups; branch curve complements; symplectic; 4-manifolds; braid monodromy;

D O I：

10.1016/j.top.2004.01.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Introducing the notion of stabilized fundamental group for the complement of a branch curve in CP2, we define effectively computable invariants of symplectic 4-manifolds that generalize those previously introduced by Moishezon and Teicher for complex projective surfaces. Moreover, we study the structure of these invariants and formulate conjectures supported by calculations on new examples. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1285 / 1318

页数：34

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