In this paper we clarify the relationship between ribbon surfaces of Legendrian graphs and quasipositive diagrams by using certain fence diagrams. As an application, we give an alternative proof of a theorem concerning a relationship between quasipositive fiber surfaces and contact structures on . We also answer a question of L. Rudolph concerning moves of quasipositive diagrams.
Nous étudions ici la relation entre les surfaces de ruban associées aux graphs legendriens et les diagrammes quasi-positifs. Comme application, nous donnons une preuve élémentaire qu’une surface fibrée est quasi-positive, si et seulement si elle porte la structure de contact standard dans . Nous répondons aussi à une question de L. Rudolph concernant les mouvements des surfaces quasi-positives
@article{AFST_2009_6_18_2_285_0,
author = {Sebastian Baader and Masaharu Ishikawa},
title = {Legendrian graphs and quasipositive diagrams},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {285--305},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 18},
number = {2},
year = {2009},
doi = {10.5802/afst.1207},
mrnumber = {2562830},
zbl = {1206.57005},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1207/}
}
TY - JOUR AU - Sebastian Baader AU - Masaharu Ishikawa TI - Legendrian graphs and quasipositive diagrams JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2009 SP - 285 EP - 305 VL - 18 IS - 2 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1207/ DO - 10.5802/afst.1207 LA - en ID - AFST_2009_6_18_2_285_0 ER -
%0 Journal Article %A Sebastian Baader %A Masaharu Ishikawa %T Legendrian graphs and quasipositive diagrams %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2009 %P 285-305 %V 18 %N 2 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1207/ %R 10.5802/afst.1207 %G en %F AFST_2009_6_18_2_285_0
Sebastian Baader; Masaharu Ishikawa. Legendrian graphs and quasipositive diagrams. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 18 (2009) no. 2, pp. 285-305. doi : 10.5802/afst.1207. https://afst.centre-mersenne.org/articles/10.5802/afst.1207/
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