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 |
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Pages (from-to) | 503-528 |
Number of pages | 26 |
Journal | Journal of the Mathematical Society of Japan |
Volume | 69 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |
Keywords
- Cup and cap products
- Real moment-angle manifolds
- Subspace arrangements