Morse inequalities for arrangements

DOI10.1006/aima.1997.1694zbMath1002.52016OpenAlexW2072758223MaRDI QIDQ1385238

Daniel C. Cohen

Publication date: 13 January 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1694

zbMATH Keywords

Morse inequalitiesarrangement of complex hyperplanesranks of the cohomology groups

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (2)

Recent topics of arrangements of hyperplanes ⋮ Vanishing and bases for cohomology of partially trivial local systems on hyperplane arrangements

Cites Work

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• Arrangements of hyperplanes and Lie algebra homology
• Numerical invariants of perverse sheaves
• Homology of iterated semidirect products of free groups
• Cohomology of local systems on the complement of hyperplanes
• Cohomology and intersection cohomology of complex hyperplane arrangements
• Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors

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