Open Access
April, 2017 On products in a real moment-angle manifold
J. Math. Soc. Japan 69(2): 503-528 (April, 2017). DOI: 10.2969/jmsj/06920503


In this paper we give a necessary and sufficient condition for a (real) moment-angle complex to be a topological manifold. The cup and cap products in a real moment-angle manifold are studied. Consequently, the cohomology ring (with coefficients integers) of a polyhedral product by pairs of disks and their bounding spheres is isomorphic to that of a differential graded algebra associated to $K$ and the dimensions of the disks.


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Li CAI. "On products in a real moment-angle manifold." J. Math. Soc. Japan 69 (2) 503 - 528, April, 2017.


Published: April, 2017
First available in Project Euclid: 20 April 2017

zbMATH: 06737025
MathSciNet: MR3638276
Digital Object Identifier: 10.2969/jmsj/06920503

Primary: 55N45
Secondary: 32S22 , 57Q15

Keywords: cup and cap products , real moment-angle manifolds , Subspace arrangements

Rights: Copyright © 2017 Mathematical Society of Japan

Vol.69 • No. 2 • April, 2017
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