[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 = {Bellingeri, Paolo and Funar, Louis},
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},
url = {http://www.numdam.org/articles/10.1016/j.crma.2003.11.014/}
}
TY - JOUR AU - Bellingeri, Paolo AU - Funar, Louis TI - Braids on surfaces and finite type invariants JO - Comptes Rendus. Mathématique PY - 2004 SP - 157 EP - 162 VL - 338 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2003.11.014/ DO - 10.1016/j.crma.2003.11.014 LA - en ID - CRMATH_2004__338_2_157_0 ER -
%0 Journal Article %A Bellingeri, Paolo %A Funar, Louis %T Braids on surfaces and finite type invariants %J Comptes Rendus. Mathématique %D 2004 %P 157-162 %V 338 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2003.11.014/ %R 10.1016/j.crma.2003.11.014 %G en %F CRMATH_2004__338_2_157_0
Bellingeri, Paolo; Funar, Louis. Braids on surfaces and finite type invariants. Comptes Rendus. Mathématique, Tome 338 (2004) no. 2, pp. 157-162. doi : 10.1016/j.crma.2003.11.014. http://www.numdam.org/articles/10.1016/j.crma.2003.11.014/
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