On products in a real moment-angle manifold

Li Cai

doi:10.2969/jmsj/06920503

On products in a real moment-angle manifold

Li Cai^*

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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.

Original language	English
Pages (from-to)	503-528
Number of pages	26
Journal	Journal of the Mathematical Society of Japan
Volume	69
Issue number	2
DOIs	https://doi.org/10.2969/jmsj/06920503
Publication status	Published - 2017
Externally published	Yes

Keywords

Cup and cap products
Real moment-angle manifolds
Subspace arrangements

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10.2969/jmsj/06920503

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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.",

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year = "2017",

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AB - 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.

KW - Cup and cap products

KW - Real moment-angle manifolds

KW - Subspace arrangements

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DO - 10.2969/jmsj/06920503

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JO - Journal of the Mathematical Society of Japan

JF - Journal of the Mathematical Society of Japan

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ER -

On products in a real moment-angle manifold

Abstract

Keywords

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