From braid groups to mapping class groups

DOI10.1007/s00209-022-03167-5OpenAlexW4313334743MaRDI QIDQ2677823

Aru Mukherjea, Lei Chen

Publication date: 6 January 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13020

zbMATH Keywords

braid groupsmapping class groupsgeometric topologytotally symmetric sets

Mathematics Subject Classification ID

Riemann surfaces (30Fxx) General low-dimensional topology (57Mxx) Special aspects of infinite or finite groups (20Fxx)

Related Items (1)

Large totally symmetric sets

Cites Work

• Finite quotients of braid groups
• Abelian and solvable subgroups of the mapping class group
• Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups. II
• Injections of mapping class groups
• Combinatorial rigidity in curve complexes and mapping class groups
• Embedding the braid group in mapping class groups.
• Automorphisms of surface mapping class groups. A recent theorem of N. Ivanov
• Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups.
• Homomorphisms between mapping class groups
• Braid groups and Hodge theory
• Mapping class groups of covers with boundary and braid group embeddings
• Representation stability in the level 4 braid group
• Braid groups and the co-Hopfian property.
• Braids and permutations
• Upper bounds for totally symmetric sets
• Semisimple actions of mapping class groups on CAT(0) spaces
• On Abelian Automorphism Groups of Algebraic Curves
• Embeddings of braid groups into mapping class groups and their homology
• Abelian Groups of Automorphisms of Compact Riemann Surfaces
• ALGEBRAIC EQUATIONS WITH CONTINUOUS COEFFICIENTS AND SOME PROBLEMS OF THE ALGEBRAIC THEORY OF BRAIDS
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