Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients

DOI10.1080/10586458.2018.1428131zbMath1439.32072arXiv1704.04152OpenAlexW2607480572MaRDI QIDQ4960475

Benoît Guerville-Ballé, Juan Viu-Sos, Enrique Artal Bartolo

Publication date: 16 April 2020

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

Full work available at URL: https://arxiv.org/abs/1704.04152

zbMATH Keywords

fundamental groupsline arrangementslower central series

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Topological aspects of complex manifolds (32Q55)

Related Items (7)

Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ The loop-linking number of line arrangements ⋮ Configurations of points and topology of real line arrangements ⋮ Homology, lower central series, and hyperplane arrangements ⋮ On left regular bands and real conic-line arrangements ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ Topology and homotopy of lattice isomorphic arrangements

Uses Software

• GAP

Cites Work

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• The Minimal Model of the Complement of an Arrangement of Hyperplanes
• On the homotopy of the complement to plane algebraic curves.
• Hall invariants, homology of subgroups, and characteristic varieties
• Lattice-Isotopic Arrangements are Topologically Isomorphic

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