On products in a real moment-angle manifold

Li Cai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


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 languageEnglish
Pages (from-to)503-528
Number of pages26
JournalJournal of the Mathematical Society of Japan
Issue number2
Publication statusPublished - 2017
Externally publishedYes


  • Cup and cap products
  • Real moment-angle manifolds
  • Subspace arrangements

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