Equivariant classification of 2-torus manifolds

• Autorzy: Zhi Lü , Mikiya Masuda
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57S10: Compact groups of homeomorphisms
• 52B70: Polyhedral manifolds
• 14M25: Toric varieties, Newton polyhedra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 115
• Numer: 2
• Strony: 171-188

Daty

wydano

2009

Twórcy

autor

Zhi Lü

• Institute of Mathematics, School of Mathematical Science, Fudan University, Shanghai 200433, P.R. China

autor

Mikiya Masuda

• Department of Mathematics, Osaka City University, Sumiyoshi-ku, Osaka 558-8585, Japan

Identyfikatory

DOI

10.4064/cm115-2-3