Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
A DEGREE DOUBLING FORMULA FOR BRAID MONODROMIES AND LEFSCHETZ PENCILS
 

Summary: A DEGREE DOUBLING FORMULA FOR BRAID
MONODROMIES AND LEFSCHETZ PENCILS
DENIS AUROUX AND LUDMIL KATZARKOV
Contents
1. Introduction 1
1.1. Braid monodromy invariants 3
1.2. The degree doubling process 6
1.3. Degree doubling for symplectic Lefschetz pencils 9
2. Stably quasiholomorphic coverings 10
2.1. Quasiholomorphic coverings and braided curves 10
2.2. Stably quasiholomorphic coverings 11
2.3. Proof of Proposition 1 18
3. The degree doubling formula for braid monodromies 21
3.1. Generalities about the braid group 21
3.2. The folding process 23
3.3. The V2 branch curve 27
3.4. Regeneration of the mutual intersections 30
3.5. The assembling rule 38
3.6. The degree doubling formula 44
4. The degree doubling formula for Lefschetz pencils 55

  

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

 

Collections: Mathematics