Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements

DOI10.1090/S0002-9939-2011-11168-7zbMath1251.32021arXiv1102.2039MaRDI QIDQ2884427

Ko-Ki Ito, Masahiko Yoshinaga

Publication date: 29 May 2012

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

Full work available at URL: https://arxiv.org/abs/1102.2039

zbMATH Keywords

de Rham cohomologyhyperplane arrangementsBorel-Moore homology

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Configurations and arrangements of linear subspaces (14N20)

Related Items (2)

Factorization statistics and bug-eyed configuration spaces ⋮ Resonant bands, Aomoto complex, and real 4-nets

Cites Work

• The chamber basis of the Orlik-Solomon algebra and Aomoto complex
• Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
• Combinatorics and topology of complements of hyperplanes
• Homotopy types of line arrangements
• Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements
• Combinatorial Morse theory and minimality of hyperplane arrangements
• Hyperplane arrangements and Lefschetz's hyperplane section theorem
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Morse theory, Milnor fibers and minimality of hyperplane arrangements
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