EQUIVARIANT CLASSIFICATION OF 2-TORUS MANIFOLDS

作者：Lu Zhi^*; Masuda Mikiya

来源：Colloquium Mathematicum, 2009, 115(2): 171-188.

DOI：10.4064/cm115-2-3

• 2-torus manifold
• equivariant classification

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.

• 出版日期2009
• 单位复旦大学