ISOTOPY AND HOMEOMORPHISM OF CLOSED SURFACE BRAIDS

DOI10.1017/S0017089520000208zbMath1482.57002arXiv1903.01916MaRDI QIDQ5858951

Mark Grant, Agata Sienicka

Publication date: 15 April 2021

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01916

zbMATH Keywords

braidsbraid groupsurface braids

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Braid groups; Artin groups (20F36) Isotopy and pseudo-isotopy (57N37) Knot theory (57K10)

Cites Work

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• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Closed braids in 3-manifolds
• Infinitely many fibred knots having the same Alexander polynomial
• Geometric subgroups of surface braid groups
• Automorphisms of braid groups on orientable surfaces
• THE CO-HOPFIAN PROPERTY OF SURFACE BRAID GROUPS
• ON AUTOMORPHISMS OF SURFACE BRAID GROUPS
• AUTOMORPHISMS OF BRAID GROUPS ON S², T², P² AND THE KLEIN BOTTLE K
• Threading knot diagrams
• The Embedding of Two-Spheres in the Four-Sphere
• The Alexander and Markov Theorems Via Diagrams for Links in 3-Manifolds
• Braid Groups
• The Word Problem and Consequences for the Braid Groups and Mapping Class Groups of the 2-Sphere
• Knots

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