Cohomological rigidity of the connected sum of three real projective spaces

DOI10.1134/S0081543822020109zbMath1499.14082OpenAlexW4312749824MaRDI QIDQ2095479

Mathieu Vallée, Suyoung Choi

Publication date: 17 November 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822020109

zbMATH Keywords

cohomological rigidityreal toric varietyreal toric manifold

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Real algebraic and real-analytic geometry (14P99) Polyhedral manifolds (52B70)

Cites Work

• Wedge operations and torus symmetries
• Cohomological non-rigidity of generalized real Bott manifolds of height 2
• Rigidity problems in toric topology: a survey
• Convex polytopes, Coxeter orbifolds and torus actions
• Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
• Cohomological rigidity of real Bott manifolds
• A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
• Small covers over wedges of polygons
• Spheres with few vertices
• Classification of real Bott manifolds and acyclic digraphs
• Moment-angle manifolds of simple $ n$-polytopes with $ n+3$ facets
• Toric cohomological rigidity of simple convex polytopes
• Classification problems of toric manifolds via topology
• Semifree circle actions, Bott towers and quasitoric manifolds
• Wedge Operations and Torus Symmetries II
• Topological toric manifolds
• Toric Topology

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