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June 2011 The number of small covers over cubes and the product of at most three simplices up to equivariant cobordism
Yanchang Chen, Yanying Wang
Proc. Japan Acad. Ser. A Math. Sci. 87(6): 95-98 (June 2011). DOI: 10.3792/pjaa.87.95

Abstract

The equivariant cobordism class of a small cover over a simple convex polytope is determined by its tangential representation set. Since the tangential representation can be identified with the characteristic function of the simple convex polytope, by using characteristic functions we determine the number of small covers over cubes and the product of at most three simplices up to equivariant cobordism.

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Yanchang Chen. Yanying Wang. "The number of small covers over cubes and the product of at most three simplices up to equivariant cobordism." Proc. Japan Acad. Ser. A Math. Sci. 87 (6) 95 - 98, June 2011. https://doi.org/10.3792/pjaa.87.95

Information

Published: June 2011
First available in Project Euclid: 1 June 2011

zbMATH: 1231.57028
MathSciNet: MR2803888
Digital Object Identifier: 10.3792/pjaa.87.95

Subjects:
Primary: 57R85
Secondary: 05C10

Keywords: cobordism , small cover , tangential representation

Rights: Copyright © 2011 The Japan Academy

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Vol.87 • No. 6 • June 2011
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