Equivariant classification of 2-torus manifolds
Volume 115 / 2009
Colloquium Mathematicum 115 (2009), 171-188
MSC: 57S10, 14M25, 52B70.
DOI: 10.4064/cm115-2-3
Abstract
We consider locally standard 2-torus manifolds, which are a generalization of small covers of Davis and Januszkiewicz and study their equivariant classification. We formulate a necessary and sufficient condition for two locally standard 2-torus manifolds over the same orbit space to be equivariantly homeomorphic. This leads us to count the equivariant homeomorphism classes of locally standard 2-torus manifolds with the same orbit space.
