Quasipositivity of an analytic curve in a pseudoconvex 4-ball

Authors
Boileau, M Orevkov, S
Citation
M. Boileau et S. Orevkov, Quasipositivity of an analytic curve in a pseudoconvex 4-ball, CR AC S I, 332(9), 2001, pp. 825-830
Citations number
12
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
9
Year of publication
2001
Pages
825 - 830
Database
ISI
SICI code
0764-4442(20010501)332:9<825:QOAACI>2.0.ZU;2-C
Abstract
A quasipositive braid is any product of conjugates of the standard generato rs of the braid group, and a quasipositive link in S-3 is isotopic to the c losure of quasipositive braid. In this Note we prove that the boundary of a n analytic curve ina pseudoconvex 4-ball is a quasipositive link. It was co njectured by Lee Rudolph. (C) 2001 Academie des sciences/Editions scientifi que et medicales Elsevier SAS.