The Stiefel-Whitney classes of moment-angle manifolds are trivial

DOI10.1515/forum-2021-0267zbMath1503.57023arXiv2110.06358OpenAlexW4307378780MaRDI QIDQ2093085

Akatsuki Kizu, Sho Hasui, Daisuke Kishimoto

Publication date: 4 November 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06358

zbMATH Keywords

cobordismStiefel-Whitney classmoment-angle manifoldequivariant Stiefel-Whitney class

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Equivariant homology and cohomology in algebraic topology (55N91) Algebraic topology of manifolds (57N65) Toric topology (57S12)

Cites Work

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• Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings
• Convex polytopes, Coxeter orbifolds and torus actions
• Birth of attracting compact invariant submanifolds diffeomorphic to moment-angle manifolds in generic families of dynamics
• Topology of moment-angle manifolds arising from flag nestohedra
• Intersections of quadrics, moment-angle manifolds and connected sums
• The cohomology rings of smooth toric varieties and quotients of moment-angle complexes
• On the classification of quasitoric manifolds over dual cyclic polytopes
• On products in a real moment-angle manifold
• Some open book and contact structures on moment-angle manifolds
• Moment-Angle Manifolds and Panov's Problem
• On the cohomology of quotients of moment-angle manifolds
• Determination of Grassmann Manifolds Which are Boundaries
• Lectures on Polytopes
• Generalized Normal Bundles for Locally-Flat Imbeddings
• The classification of 𝐺-spaces

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