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| Small Covers over a Product Space |
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Citation： |
D. T. Wang,Y. Y. Wang,Y. H. Ding.Small Covers over a Product Space[J].Chinese Annals of Mathematics B,2016,37(3):331~356 |
| Page view： 1211
Net amount： 964 |
Authors： |
D. T. Wang; Y. Y. Wang;Y. H. Ding |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11371118), the Specialized Research Fund
for the Doctoral Program of Higher Education (No.20121303110004)
and the Natural Science Foundation of Hebei Province
(No.A2011205075). |
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| Abstract： |
A small cover is a closed manifold $M^{n}$ with a locally standard
$(\Bbb{Z}_{2})^{n}$-action such that its orbit space is a simple
convex polytope $P^{n}$. Let $\Delta^{n}$ denote an $n$-simplex and
$P(m)$ an $m$-gon. This paper gives formulas for calculating the
number of D-J equivalent classes and equivariant homeomorphism
classes of orientable small covers over the product space
$\Delta^{n_1}\times \Delta^{n_2} \times P(m)$, where $n_1$ is odd. |
Keywords： |
$(\Bbb{Z}_{2})^{n}$-Action, Small cover, Equivariant homeomorphism, Polytope |
Classification： |
57S10, 57S25, 52B11, 52B70
\end{abstract} |
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