[Topologie des variétés de caractères et représentations de carquois]
Dans Hausel et al. (2008) [10] nous avons énoncé une conjecture qui généralise la formule de Cauchy pour les polynômes de Macdonald. Cette formule contient l'information sur les polynômes de Hodge mixtes des variétés de représentations du groupe fondamental d'une surface de Riemann épointée de genre g. Nous avons montré plusieurs résultats qui appuient notre conjecture. Ici nous présentons de nouveaux résultats qui sont des conséquences de ceux de Hausel et al. (2008) [10].
In Hausel et al. (2008) [10] we presented a conjecture generalizing the Cauchy formula for Macdonald polynomial. This conjecture encodes the mixed Hodge polynomials of the character varieties of representations of the fundamental group of a punctured Riemann surface of genus g. We proved several results which support this conjecture. Here we announce new results which are consequences of those in Hausel et al. (2008) [10].
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@article{CRMATH_2010__348_3-4_131_0,
author = {Hausel, Tam\'as and Letellier, Emmanuel and Rodriguez Villegas, Fernando},
title = {Topology of character varieties and representations of quivers},
journal = {Comptes Rendus. Math\'ematique},
pages = {131--135},
publisher = {Elsevier},
volume = {348},
number = {3-4},
year = {2010},
doi = {10.1016/j.crma.2010.01.025},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.01.025/}
}
TY - JOUR AU - Hausel, Tamás AU - Letellier, Emmanuel AU - Rodriguez Villegas, Fernando TI - Topology of character varieties and representations of quivers JO - Comptes Rendus. Mathématique PY - 2010 SP - 131 EP - 135 VL - 348 IS - 3-4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.01.025/ DO - 10.1016/j.crma.2010.01.025 LA - en ID - CRMATH_2010__348_3-4_131_0 ER -
%0 Journal Article %A Hausel, Tamás %A Letellier, Emmanuel %A Rodriguez Villegas, Fernando %T Topology of character varieties and representations of quivers %J Comptes Rendus. Mathématique %D 2010 %P 131-135 %V 348 %N 3-4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2010.01.025/ %R 10.1016/j.crma.2010.01.025 %G en %F CRMATH_2010__348_3-4_131_0
Hausel, Tamás; Letellier, Emmanuel; Rodriguez Villegas, Fernando. Topology of character varieties and representations of quivers. Comptes Rendus. Mathématique, Tome 348 (2010) no. 3-4, pp. 131-135. doi : 10.1016/j.crma.2010.01.025. http://www.numdam.org/articles/10.1016/j.crma.2010.01.025/
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