Equivariant classification of 2-torus manifolds

Details Equivariant classification of 2-torus manifolds Equivariant classification of 2-torus manifolds

2008-02-16

arxiv.org/abs/0802.2313v1

Colloq. Math. 115 (2009), 171--188.

Mathematics

Geometric Topology

16 pages

Scientific paper

A 2-torus manifold is a closed smooth manifold of dimension $n$ with an
effective action of a 2-torus group $(\Z_2)^n$ of rank $n$, and it is said to
be locally standard if it is locally isomorphic to a faithful representation of
$(\Z_2)^n$ on $\R^n$. This paper studies the equivariant classification of
locally standard 2-torus manifolds.

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