Journal of the Mathematical Society of Japan

On products in a real moment-angle manifold

Li CAI

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Abstract

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.

Article information

Source
J. Math. Soc. Japan Volume 69, Number 2 (2017), 503-528.

Dates
First available in Project Euclid: 20 April 2017

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1492653638

Digital Object Identifier
doi:10.2969/jmsj/06920503

Subjects
Primary: 55N45: Products and intersections
Secondary: 57Q15: Triangulating manifolds 32S22: Relations with arrangements of hyperplanes [See also 52C35]

Keywords
cup and cap products real moment-angle manifolds subspace arrangements

Citation

CAI, Li. On products in a real moment-angle manifold. J. Math. Soc. Japan 69 (2017), no. 2, 503--528. doi:10.2969/jmsj/06920503. https://projecteuclid.org/euclid.jmsj/1492653638


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