Graph braid groups and right-angled Artin groups

DOI10.1090/S0002-9947-2011-05399-7zbMath1281.20040arXiv0805.0082OpenAlexW2113267456MaRDI QIDQ5388827

Jee Hyoun Kim, Ki Hyoung Ko, Hyo Won Park

Publication date: 20 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0082

zbMATH Keywords

braid groupsplanar graphsdiscrete Morse theoryright-angled Artin groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07) Relations of low-dimensional topology with graph theory (57M15)

Related Items (19)

Edge stabilization in the homology of graph braid groups ⋮ Characteristics of graph braid groups ⋮ Graph 4-braid groups and Massey products ⋮ Graph of groups decompositions of graph braid groups ⋮ Topological complexity of unordered configuration spaces of certain graphs ⋮ Abrams's stable equivalence for graph braid groups ⋮ Unnamed Item ⋮ Topological complexity of \(n\) points on a tree ⋮ Stability phenomena in the homology of tree braid groups ⋮ On the structure of braid groups on complexes ⋮ \(n\)-particle quantum statistics on graphs ⋮ An application of the theory of FI-algebras to graph configuration spaces ⋮ Farley-Sabalka's Morse-theory model and the higher topological complexity of ordered configuration spaces on trees ⋮ Quasi-isometry invariants of weakly special square complexes ⋮ Subdivisional spaces and graph braid groups ⋮ Configuration spaces of graphs with certain permitted collisions ⋮ Negative curvature in graph braid groups ⋮ Asymptotic homology of graph braid groups ⋮ Cohomology ring of tree braid groups and exterior face rings

Cites Work

• On braid groups and right-angled Artin groups
• Morse theory for cell complexes
• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
• On the cohomology rings of tree braid groups.
• Discrete Morse theory and graph braid groups.
• An introduction to right-angled Artin groups.
• Embedding right-angled Artin groups into graph braid groups.
• Finding Topology in a Factory: Configuration Spaces
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