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March 2012 On the constructions of free and locally standard $\mathbb{Z}_{2}$-torus actions on manifolds
Li Yu
Osaka J. Math. 49(1): 167-193 (March 2012).

Abstract

We introduce an elementary way of constructing principal $(\mathbb{Z}_{2})^{m}$-bundles over compact smooth manifolds. In addition, we will define a general notion of locally standard $(\mathbb{Z}_{2})^{m}$-actions on closed manifolds for all $m \geq 1$, and then give a general way to construct all such $(\mathbb{Z}_{2})^{m}$-actions from the orbit space. Some related topology problems are also studied.

Citation

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Li Yu. "On the constructions of free and locally standard $\mathbb{Z}_{2}$-torus actions on manifolds." Osaka J. Math. 49 (1) 167 - 193, March 2012.

Information

Published: March 2012
First available in Project Euclid: 21 March 2012

zbMATH: 1245.57031
MathSciNet: MR2903259

Subjects:
Primary: 57R22
Secondary: 57R91 , 57S17

Rights: Copyright © 2012 Osaka University and Osaka City University, Departments of Mathematics

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Vol.49 • No. 1 • March 2012
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