The level four braid group

DOI10.1515/crelle-2015-0032zbMath1458.57019arXiv1410.7416OpenAlexW2962681108MaRDI QIDQ683514

Dan Margalit, Tara E. Brendle

Publication date: 8 February 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7416

zbMATH Keywords

braid group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07)

Related Items (11)

Lifting images of standard representations of symmetric groups ⋮ Representation stability in the level 4 braid group ⋮ The cohomology class of the mod 4 braid group ⋮ Factoring in the hyperelliptic Torelli group ⋮ Congruence subgroups and crystallographic quotients of small Coxeter groups ⋮ Erratum to: ``The level four braid group ⋮ Mapping class groups of covers with boundary and braid group embeddings ⋮ The normal closure of a power of a half-twist has infinite index in the mapping class group of a punctured sphere ⋮ The universal n-pointed surface bundle only has n sections ⋮ Congruence subgroups of braid groups ⋮ Congruence subgroups of braid groups

Cites Work

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• The congruence subgroup problem for pure braid groups: Thurston's proof.
• The Picard group of the moduli space of curves with level structures
• The Burau representation of the braid group is pairwise free
• Every curve is a Hurwitz space
• Tresses, monodromie et le groupe symplectique
• A braidlike presentation of \(\text{Sp}(n,p)\)
• On the monodromy group of plane curve singularities
• On Meyer's function of hyperelliptic mapping class groups
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Braid groups and Hodge theory
• On Burau's representations at roots of unity
• Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at \(t=-1\)
• Zur Theorie der Siegelschen Modulgruppe
• Image of the Burau representation at \(d\)-th roots of unity.
• The Burau estimate for the entropy of a braid
• Subgroups of pure braid groups generated by powers of Dehn twists.
• Generating the Johnson filtration
• Quivers, Floer cohomology, and braid group actions
• Normal closures of powers of Dehn twists in mapping class groups
• On braid groups and homotopy groups
• Braids and Signatures
• Symplectic modulary groups
• On a theorem of V. I. arnol'd
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• The faithfulness of the monodromy representations associated with certain families of algebraic curves

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