On the moment-angle manifold constructed by Fan, Chen, Ma and Wang

zbMath1408.57029arXiv1608.02673MaRDI QIDQ1626392

Kouyemon Iriye

Publication date: 27 November 2018

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02673

zbMATH Keywords

simplicial complexmoment-angle manifoldsfat wedge filtration

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Algebraic topology on manifolds and differential topology (57R19)

Cites Work

• Convex polytopes, Coxeter orbifolds and torus actions
• Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
• Intersections of quadrics, moment-angle manifolds and connected sums
• Homotopy groups of \(\mathrm{SU}(3)\), \(\mathrm{SU}(4)\) and \(\mathrm{Sp}(2)\)
• Decompositions of polyhedral products for shifted complexes
• The homotopy groups of Lie groups of low rank
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• Adjacent Connected Sums and Torus Actions
• Toric Topology
• An enumeration of simplicial 4-polytopes with 8 vertices
• Moment-angle manifolds and connected sums of sphere products

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