Weakly framed surface configurations, Heisenberg homology, and mapping class group action

DOI10.1007/s00013-022-01793-3OpenAlexW4307028290MaRDI QIDQ2678893

Christian Blanchet, Awais Shaukat

Publication date: 25 January 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.11475

zbMATH Keywords

configuration spacesmapping class groupHeisenberg homology

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Homology with local coefficients, equivariant cohomology (55N25) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Unnamed Item
• Surface framed braids.
• A family of representations of braid groups on surfaces.
• On presentations of surface braid groups.
• ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS
• New presentations of surface braid groups
• Lower central series, surface braid groups, surjections and permutations
• Surface braid groups, Finite Heisenberg covers and double Kodaira fibrations
• On the Volume Elements on a Manifold
• Braid groups are linear
• Braid groups are linear
• The mapping class group of a genus two surface is linear

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