Fiber bundles with degenerations and their applications to computing fundamental groups

DOI10.1007/BF01265678zbMath0812.57004MaRDI QIDQ1311606

Alexander Leibman

Publication date: 21 January 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

fundamental groupshyperplane complementsgeneric fibercomplements of hypersurfacespresentations of the generalized pure braid groupssurjective morphism of connected smooth manifolds

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Fundamental group, presentations, free differential calculus (57M05) Low-dimensional topology of special (e.g., branched) coverings (57M12) Generalizations of fiber spaces and bundles in algebraic topology (55R65)

Related Items (4)

Relative compactified Jacobiansof linear systemson Enriques surfaces ⋮ NEW SYMPLECTIC V-MANIFOLDS OF DIMENSION FOUR VIA THE RELATIVE COMPACTIFIED PRYMIAN ⋮ Nonabelian statistics for Calogero-Sutherland systems of particles. ⋮ Vector braids

Cites Work

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• The lower central series of a fiber-type arrangement
• The \(D_ n\) generalized pure braid group
• The Minimal Model of the Complement of an Arrangement of Hyperplanes
• On the Fundamental Group of an Algebraic Curve

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