Asymptotic homology of graph braid groups

DOI10.2140/gt.2022.26.1745OpenAlexW4308353573MaRDI QIDQ2105816

Ben Knudsen, Byung Hee An, Gabriel C. Drummond-Cole

Publication date: 8 December 2022

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08286

zbMATH Keywords

configuration spaceshomological stabilitygraph braid groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

Cites Work

• Homological stability for configuration spaces of manifolds
• On the homology of configuration spaces
• Configuration spaces of positive and negative particles
• The cohomology ring of the colored braid group
• Stability phenomena in the homology of tree braid groups
• The homology of configuration spaces of trees with loops
• Configuration spaces of algebraic varieties
• Characteristics of graph braid groups
• Rational Betti numbers of configuration spaces
• Non-abelian quantum statistics on graphs
• Edge stabilization in the homology of graph braid groups
• Subdivisional spaces and graph braid groups
• FI-modules and stability for representations of symmetric groups
• Configuration-spaces and iterated loop-spaces
• Discrete Morse theory and graph braid groups.
• Estimates for homological dimension of configuration spaces of graphs
• Models for configuration space in a simplicial complex
• Homology groups for particles on one-connected graphs
• Betti numbers of configuration spaces of surfaces
• Graph braid groups and right-angled Artin groups
• On the second homology of planar graph braid groups

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