On the constructions of free and locally standard Z_2-torus actions on Manifolds

Abstract

We introduce an elementary way of constructing principal (Z_2)^m-bundles over compact smooth manifolds. In addition, we will define a general notion of locally standard (Z_2)^m-actions on closed manifolds for all m>0, and then give a general way to construct all such (Z_2)^m-actions from the orbit space. Some related topology problems are also studied.

28 pages, 12 figures, some minor revisions are made, one picture and one reference are added.

References in corpus (1)

• Möbius transform, moment-angle complexes and Halperin-Carlsson conjecture

Cited by in corpus (3)

• Small Cover and Halperin-Carlsson Conjecture -II
• A proof of Halperin-Carlsson Conjecture for free Z_2-torus actions on manifolds
• Cubes and Generalized Real Bott Manifolds