Torsion in the cohomology of blowups of quasitoric orbifolds

DOI10.1016/j.topol.2021.107666zbMath1467.57021OpenAlexW3137763088MaRDI QIDQ2664093

Soumen Sarkar, Koushik Brahma, Subhankar Sau

Publication date: 20 April 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107666

zbMATH Keywords

cohomologyblowupquasitoric orbifoldsimplicial toric varietyretraction sequence

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Equivariant homology and cohomology in algebraic topology (55N91) Singular homology and cohomology theory (55N10) Topology and geometry of orbifolds (57R18) Toric topology (57S12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On quasitoric orbifolds
• \(\mathbb T^2\)-cobordism of quasitoric 4-manifolds
• Cohomology of twisted projective spaces and lens complexes
• Convex polytopes, Coxeter orbifolds and torus actions
• Examples of simply-connected symplectic non-Kählerian manifolds
• Pseudo holomorphic curves in symplectic manifolds
• Torsion in the cohomology of torus orbifolds
• A new construction of lens spaces
• Birational equivalence in the symplectic category
• Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds
• On the integral cohomology ring of toric orbifolds and singular toric varieties
• Infinite families of equivariantly formal toric orbifolds
• Introduction to Toric Varieties. (AM-131)
• Lectures on Polytopes
• On Integral Cohomology of Certain Orbifolds
• Blowing up symplectic orbifolds