On cohomology of quasitoric manifolds over a vertex cut of a finite product of simplices

MaRDI QIDQ6567970

Subhankar Sau, Soumen Sarkar

Publication date: 5 July 2024

Published in: Moscow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

torus actionquasitoric manifoldcohomology ringvertex cut

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Singular homology and cohomology theory (55N10) Toric topology (57S12)

Cites Work

• Title not available (Why is that?)
• Classification of \(\mathbb{Q}\)-trivial Bott manifolds
• Convex polytopes, Coxeter orbifolds and torus actions
• Equivariant cohomology distinguishes toric manifolds
• Quasitoric manifolds over a product of simplices
• Equivariant almost complex structures on quasitoric manifolds
• Examples of simply-connected symplectic non-Kählerian manifolds
• Pseudo holomorphic curves in symplectic manifolds
• Almost complex structure, blowdowns and McKay correspondence in quasitoric orbifolds
• Torsion in the cohomology of blowups of quasitoric orbifolds
• Classification of Bott Manifolds up to Dimension 8
• Classification problems of toric manifolds via topology
• Semifree circle actions, Bott towers and quasitoric manifolds
• Classification of Toric Manifolds over an n-Cube with One Vertex Cut
• Topological classification of generalized Bott towers
• Toric varieties

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