On the cohomology rings of tree braid groups.

DOI10.1016/j.jpaa.2007.04.011zbMath1137.20027arXivmath/0602444OpenAlexW2054621597WikidataQ115570010 ScholiaQ115570010MaRDI QIDQ2456384

Lucas Sabalka, Daniel Scott Farley

Publication date: 18 October 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602444

zbMATH Keywords

braid groupscohomology ringsconfiguration spacesright-angled Artin groupsfinite connected graphs

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Relations of low-dimensional topology with graph theory (57M15)

Related Items (21)

Homology groups for particles on one-connected graphs ⋮ On rigidity and the isomorphism problem for tree braid groups. ⋮ Presentations of graph braid groups ⋮ Embedding right-angled Artin groups into graph braid groups. ⋮ Topology of configuration space of two particles on a graph. II. ⋮ Edge stabilization in the homology of graph braid groups ⋮ Characteristics of graph braid groups ⋮ Graph 4-braid groups and Massey products ⋮ Topological complexity of unordered configuration spaces of certain graphs ⋮ On braid groups and right-angled Artin groups ⋮ Abrams's stable equivalence for graph braid groups ⋮ Graph braid groups and right-angled Artin groups ⋮ Unnamed Item ⋮ Topological complexity of \(n\) points on a tree ⋮ \(n\)-particle quantum statistics on graphs ⋮ Topology of configuration space of two particles on a graph. I. ⋮ The conjugacy problem in subgroups of right-angled Artin groups ⋮ Quasi-isometry invariants of weakly special square complexes ⋮ Subdivisional spaces and graph braid groups ⋮ Negative curvature in graph braid groups ⋮ Cohomology ring of tree braid groups and exterior face rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On braid groups and right-angled Artin groups
• Configuration spaces of colored graphs.
• Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
• The isomorphism problem for commutative monoid rings
• Morse theory for cell complexes
• Topological complexity of motion planning
• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
• Discrete Morse theory and graph braid groups.
• Homological and finiteness properties of picture groups
• Isotopy invariants of topological spaces

This page was built for publication: On the cohomology rings of tree braid groups.