Geodesic
Equivariant classification of 2-torus manifolds
Zhi Lü 1   ; Mikiya Masuda 2
1 Institute of Mathematics School of Mathematical Science Fudan University Shanghai 200433, P.R. China
2 Department of Mathematics Osaka City University Sumiyoshi-ku, Osaka 558-8585, Japan
Colloquium Mathematicum, Tome 115 (2009) no. 2, pp. 171-188 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm115-2-3
Keywords: consider locally standard torus manifolds which generalization small covers davis januszkiewicz study their equivariant classification formulate necessary sufficient condition locally standard torus manifolds orbit space equivariantly homeomorphic leads count equivariant homeomorphism classes locally standard torus manifolds orbit space

Zhi Lü  1   ; Mikiya Masuda  2

1 Institute of Mathematics School of Mathematical Science Fudan University Shanghai 200433, P.R. China
2 Department of Mathematics Osaka City University Sumiyoshi-ku, Osaka 558-8585, Japan 
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Zhi Lü; Mikiya Masuda. Equivariant classification of 2-torus manifolds. Colloquium Mathematicum, Tome 115 (2009) no. 2, pp. 171-188. doi: 10.4064/cm115-2-3

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