Combinatorial generators for the cohomology of toric arrangements

DOI10.1016/J.TOPOL.2024.109027zbMATH Open1547.57065MaRDI QIDQ6592034

Emanuele Delucchi, F. Callegaro

Publication date: 23 August 2024

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

zbMATH Keywords

Orlik-Solomon algebraposetshyperplane arrangementscell complexescombinatorial topologySalvetti complextoric arrangements

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Toric topology (57S12)

Cites Work

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• The integer cohomology algebra of toric arrangements
• The homotopy type of toric arrangements
• On the geometry of toric arrangements
• Topics in hyperplane arrangements, polytopes and box-splines
• Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
• Combinatorics and topology of complements of hyperplanes
• The homotopy type of elliptic arrangements
• Minimality of toric arrangements
• Orlik-Solomon algebras in algebra and topology
• Cohomology of abelian arrangements
• A Salvetti Complex for Toric Arrangements and its Fundamental Group
• Combinatorial Stratification of Complex Arrangements
• Homotopy colimits in the category of small categories
• On cohomology algebras of complex subspace arrangements
• Purity, Formality, and Arrangement Complements
• Orlik-Solomon type presentations for the cohomology algebra of toric arrangements
• Corrigendum to “Orlik-Solomon-type presentations for the cohomology algebra of toric arrangements”

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