Equivariant classification of 2-torus manifolds
Colloquium Mathematicum, Tome 115 (2009) no. 2, pp. 171-188
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
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
Affiliations des auteurs :
Zhi Lü 1 ; Mikiya Masuda 2
@article{10_4064_cm115_2_3,
author = {Zhi L\"u and Mikiya Masuda},
title = {Equivariant classification of 2-torus manifolds},
journal = {Colloquium Mathematicum},
pages = {171--188},
publisher = {mathdoc},
volume = {115},
number = {2},
year = {2009},
doi = {10.4064/cm115-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm115-2-3/}
}
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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