Equivariant classification of 2-torus manifolds

Abstract

A 2-torus manifold is a closed smooth manifold of dimension $n$ with an effective action of a 2-torus group $({\mathbb{Z}}_2{)}^n$ of rank $n$, and it is said to be locally standard if it is locally isomorphic to a faithful representation of $({\mathbb{Z}}_2{)}^n$ on ${\mathbb{R}}^n$. This paper studies the equivariant classification of locally standard 2-torus manifolds.

16 pages