Summary: BRANCHED COVERINGS OF CP2
AND INVARIANTS OF
SYMPLECTIC 4-MANIFOLDS
DENIS AUROUX AND LUDMIL KATZARKOV
Contents
1. Introduction 1
2. Compatibility of branch curves with a projection to CP1
8
3. Existence and uniqueness of quasiholomorphic coverings 19
3.1. Self-transversality and proof of Theorem 1 19
3.2. Uniqueness up to isotopy 23
4. New invariants of symplectic four-manifolds 24
5. Projections to CP2
and Lefschetz pencils 30
5.1. Quasiholomorphic coverings and Lefschetz pencils 30
5.2. Braid groups and mapping class groups 33
6. Examples 38
References 39
1. Introduction
Symplectic manifolds are an important class of four-dimensional mani-

Source: Auroux, Denis - Department of Mathematics, Massachusetts Institute of Technology (MIT)

Collections: Mathematics