On Liftings of Local Torus Actions to Fiber Bundles

Details On Liftings of Local Torus Actions to Fiber Bundles On Liftings of Local Torus Actions to Fiber Bundles

2007-10-11

arxiv.org/abs/0710.2169v4

Toric Topology, 391-402. Contemp. Math. 460. American Mathematical Society, Providence, RI, 2008

Mathematics

Geometric Topology

11 pages. Definition 1.1 is modified

Scientific paper

In this note we define a lifting of a local torus action modeled on the
standard representation (we call it a local torus action for simplicity) to a
principal torus bundle, and show that there is an obstruction class for the
existence of liftings in the first cohomology of the fundamental group of the
orbit space with coefficients in a certain module.

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