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2011 Some small orbifolds over polytopes
Soumen Sarkar
Author Affiliations +
Tbilisi Math. J. 4: 1-27 (2011). DOI: 10.32513/tbilisi/1528768864


We introduce some compact orbifolds on which there is a certain finite group action having a simple convex polytope as the orbit space. We compute the orbifold fundamental group and homology groups of these orbifolds. We compute the cohomology rings of these orbifolds when the dimension of the orbifold is even. These orbifolds are intimately related to the notion of small cover.

Funding Statement

The author would like to thank his advisor Mainak Poddar for helpful suggestions and stimulating discussions. The author is thankful to the anonymous referee for helpful suggestions. He would also like to thank I. S. I. for supporting his research grant during the preparation of the work was done.


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Soumen Sarkar. "Some small orbifolds over polytopes." Tbilisi Math. J. 4 1 - 27, 2011.


Received: 8 December 2010; Revised: 6 April 2011; Accepted: 13 April 2011; Published: 2011
First available in Project Euclid: 12 June 2018

zbMATH: 1278.55011
MathSciNet: MR2886754
Digital Object Identifier: 10.32513/tbilisi/1528768864

Primary: 55NN10
Secondary: 55N33

Rights: Copyright © 2011 Tbilisi Centre for Mathematical Sciences


Vol.4 • 2011
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