no. 5-6
Geometry/Topology
The Aˆ-genus of S1-manifolds with finite second homotopy group
[Le Aˆ-genre de S1-variétés avec le deuxième groupe homotopie fin]
Présenté par : Jean-Pierre Demailly
Amann, Manuel1 ; Dessai, Anand2
1 University of Münster, Department of Mathematics, Einsteinstraße 62, 48149 Münster, Germany
2 University of Fribourg, Department of Mathematics, Chemin du Musée 23, CH-1700 Fribourg, Switzerland
Comptes Rendus. Mathématique, Tome 348 (2010) no. 5-6, pp. 283-285

We construct simply connected smooth manifolds M of dimension 4k⩾8 with the following properties: the second homotopy group π2(M) is finite, M admits a smooth action by the circle S1 and the Aˆ-genus Aˆ(M) is non-zero.

Nous construisons des variétés M simplement connexes de dimension 4k⩾8 avec les propriétés suivantes : le deuxième groupe d'homotopie π2(M) est fini, M admet une action lisse du cercle S1 et le Aˆ-genre Aˆ(M) est non nulle.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.01.011

Amann, Manuel 1 ; Dessai, Anand 2

1 University of Münster, Department of Mathematics, Einsteinstraße 62, 48149 Münster, Germany
2 University of Fribourg, Department of Mathematics, Chemin du Musée 23, CH-1700 Fribourg, Switzerland 
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Amann, Manuel; Dessai, Anand. The $ \stackrel{ˆ}{A}$-genus of $ {S}^{1}$-manifolds with finite second homotopy group. Comptes Rendus. Mathématique, Tome 348 (2010) no. 5-6, pp. 283-285. doi: 10.1016/j.crma.2010.01.011

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