The Â-genus of S¹-manifolds with finite second homotopy group
Amann, ManuelUniversity of Münster, Department of Mathematics, Germany
Dessai, AnandUniversity of Fribourg, Department of Mathematics, Switzerland
2009
English
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 Â-genus Â(M) is non-zero.