Equivariant classification of 2-torus manifolds

Zhi Lü, and Mikiya Masuda. "Equivariant classification of 2-torus manifolds." Colloquium Mathematicae 115.2 (2009): 171-188. <http://eudml.org/doc/283487>.

@article{ZhiLü2009,
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.},
author = {Zhi Lü, Mikiya Masuda},
journal = {Colloquium Mathematicae},
keywords = {2-torus manifolds; equivariant classification},
language = {eng},
number = {2},
pages = {171-188},
title = {Equivariant classification of 2-torus manifolds},
url = {http://eudml.org/doc/283487},
volume = {115},
year = {2009},
}

TY - JOUR
AU - Zhi Lü
AU - Mikiya Masuda
TI - Equivariant classification of 2-torus manifolds
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 2
SP - 171
EP - 188
AB - 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.
LA - eng
KW - 2-torus manifolds; equivariant classification
UR - http://eudml.org/doc/283487
ER -