Betti Numbers of Locally Standard 2-Torus Manifolds

Citation:

Junda CHEN,Zhi LV.Betti Numbers of Locally Standard 2-Torus Manifolds[J].Chinese Annals of Mathematics B,2014,35(4):599~606
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Authors:

Junda CHEN; Zhi LV;

Foundation:

the National Natural Science Foundation of China (No. 10931005) and the Research Fund for the Doctoral Program of Higher Education of China (No. 20100071110001).
Abstract: Let Mn be a smooth closed n-manifold with a locally standard (Z2)n-action. This paper deals with the relationship among the mod 2 Betti numbers of Mn, the mod 2 Betti numbers and the h-vector of the orbit space of the action.

Keywords:

Locally standard 2-torus action, Manifold with corners, Betti number

Classification:

57S17
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