HILDEN BRAID GROUPS

DOI10.1142/S0218216511009534zbMath1245.57007arXiv0909.4845OpenAlexW2049493595MaRDI QIDQ3224946

Paolo Bellingeri, Alessia Cattabringa

Publication date: 13 March 2012

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4845

zbMATH Keywords

handlebodiesmotion groupsMapping class groupsbridge position for links

Mathematics Subject Classification ID

Related Items (6)

A journey through loop braid groups ⋮ An algorithmic method to compute plat slide moves in 3-manifolds of Heegaard genus two ⋮ Surface framed braids. ⋮ Braids on surfaces and finite type invariants. ⋮ The Alexander polynomial of links in lens spaces ⋮ Alexander representation of tangles

Cites Work

• A presentation for Hilden's subgroup of the braid group
• Generators for two subgroups related to the braid group
• Dynamical systems. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME) held in Montecatini Terme, Italy, June 13-22, 1994
• Strongly-cyclic branched coverings of knots via \((g,1)\)-decompositions
• Extending homeomorphisms from punctured surfaces to handlebodies.
• Heegaard surfaces in Haken 3-manifolds
• THE ALEXANDER POLYNOMIAL OF (1,1)-KNOTS
• Strongly-cyclic branched coverings and the Alexander polynomial of knots in rational homology spheres
• GEOMETRIC PRESENTATIONS FOR THE PURE BRAID GROUP
• Motion of links in the 3-sphere.
• Minimal Plat Representations of Prime Knots and Links are not Unique
• On the Stable Equivalence of Plat Representations of Knots and Links
• ALL STRONGLY-CYCLIC BRANCHED COVERINGS OF (1,1)-KNOTS ARE DUNWOODY MANIFOLDS
• Heegaard surfaces and measured laminations, II: Non-Haken 3–manifolds
• Presentations for the punctured mapping class groups in terms of Artin groups

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