no. 12
Algebraic geometry
Geometric construction of generators of CoHA of doubled quiver
[Construction géométrique des générateurs de l'algèbre cohomologique de Hall du double d'un carquois]

Présenté par : Claire Voisin

Chen, Zongbin1
1 EPFL SB Mathgeom/Geom, MA B1 447, Lausanne, CH-1015, Switzerland
Comptes Rendus. Mathématique, Tome 352 (2014) no. 12, pp. 1039-1044.

Soit Q le double d'un carquois. Selon Efimov, Kontsevich et Soibelman, l'algèbre cohomologique de Hall (CoHA) associée à Q est une algèbre libre super-commutative. Dans cette note, nous démontrons la conjecture de Hausel, donnant une réalisation géométrique des générateurs de cette algèbre.

Let Q be the double of a quiver. According to Efimov, Kontsevich and Soibelman, the cohomological Hall algebra (CoHA) associated with Q is a free super-commutative algebra. In this short note, we confirm a conjecture of Hausel, which gives a geometric realisation of the generators of the CoHA.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.09.025
Chen, Zongbin 1

1 EPFL SB Mathgeom/Geom, MA B1 447, Lausanne, CH-1015, Switzerland 
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Chen, Zongbin. Geometric construction of generators of CoHA of doubled quiver. Comptes Rendus. Mathématique, Tome 352 (2014) no. 12, pp. 1039-1044. doi : 10.1016/j.crma.2014.09.025. http://www.numdam.org/articles/10.1016/j.crma.2014.09.025/

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