The Cohomology Groups of Real Toric Varieties Associated with Weyl Chambers of TypesCandD

DOI10.1017/S001309151800086XzbMath1441.14164arXiv1705.00275OpenAlexW2963574255MaRDI QIDQ4966898

Suyoung Choi, Shizuo Kaji, Han Chul Park

Publication date: 28 June 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00275

zbMATH Keywords

cohomologyroot systemreal toric varietyWeyl chamberposet topologygeneralized Euler number

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Real algebraic sets (14P05) Algebraic topology of manifolds (57N65) Root systems (17B22)

Related Items (2)

Geometric representations of finite groups on real toric spaces ⋮ Graph invariants and Betti numbers of real toric manifolds

Cites Work

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• On the cohomology and their torsion of real toric objects
• Convex polytopes, Coxeter orbifolds and torus actions
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Some permutation representations of Weyl groups associated with the cohomology of toric varieties
• A character formula for the representation of a Weyl group in the cohomology of the associated toric variety
• The Betti numbers of real toric varieties associated to Weyl chambers of type \(B\)
• The On-Line Encyclopedia of Integer Sequences
• Young diagrams and intersection numbers for toric manifolds associated with Weyl chambers
• A new graph invariant arises in toric topology
• Rational cohomology of the real Coxeter toric variety of type A

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