[Tresses sur les surfaces et invariants de type fini]
Nous démontrons qu'il n'y a pas d'invariant universel fonctoriel de type fini pour les tresses dans Σ×I, lorsque Σ est une surface orientable de genre positif.
We prove that there is no functorial universal finite type invariant for braids in Σ×I if the genus of Σ is positive.
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@article{CRMATH_2004__338_2_157_0,
author = {Paolo Bellingeri and Louis Funar},
title = {Braids on surfaces and finite type invariants},
journal = {Comptes Rendus. Math\'ematique},
pages = {157--162},
publisher = {Elsevier},
volume = {338},
number = {2},
year = {2004},
doi = {10.1016/j.crma.2003.11.014},
language = {en},
}
Paolo Bellingeri; Louis Funar. Braids on surfaces and finite type invariants. Comptes Rendus. Mathématique, Volume 338 (2004) no. 2, pp. 157-162. doi : 10.1016/j.crma.2003.11.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.11.014/
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