Equivariant cohomology distinguishes toric manifolds

DOI10.1016/j.aim.2008.04.002zbMath1152.57032arXivmath/0703330OpenAlexW2086001113MaRDI QIDQ936541

Mikiya Masuda

Publication date: 14 August 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703330

zbMATH Keywords

equivariant cohomologyfanquasitoric manifoldtoric manifoldsmall cover

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Compact Lie groups of differentiable transformations (57S15) Equivariant homology and cohomology in algebraic topology (55N91) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items

Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers, Orbit configuration spaces of small covers and quasi-toric manifolds, Graph equivariant cohomological rigidity for GKM graphs, The topology of toric symplectic manifolds, GKM manifolds are not rigid, Cohomological rigidity and the number of homeomorphism types for small covers over prisms, Topological classification of generalized Bott towers, The equivariant cohomology of complexity one spaces, Certain generalized higher derived functors associated to quasitoric manifolds, When are two Coxeter orbifolds diffeomorphic?, Equivariant cohomology distinguishes the geometric structures of toric hyperkähler manifolds, Equivariant cohomological rigidity of certain T-manifolds, On the sign ambiguity in equivariant cohomological rigidity of GKM graphs, Reconstructing the orbit type stratification of a torus action from its equivariant cohomology, Cohomological rigidity of real Bott manifolds, Configuration spaces and polyhedral products

Cites Work

• Convex polytopes, Coxeter orbifolds and torus actions
• Quasitoric manifolds over a product of simplices
• Unitary toric manifolds, multi-fans and equivariant index
• Theory of multi-fans
• Introduction to Toric Varieties. (AM-131)
• Classification problems of toric manifolds via topology
• Semifree circle actions, Bott towers and quasitoric manifolds
• Topological classification of generalized Bott towers
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