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

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

2010-01-03

arxiv.org/abs/1001.0289v6

Mathematics

Algebraic Topology

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

Scientific paper

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.

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