Cohomology ring of tree braid groups and exterior face rings

DOI10.1090/btran/131OpenAlexW4312057793MaRDI QIDQ5872964

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Publication date: 5 January 2023

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

Full work available at URL: https://arxiv.org/abs/2106.13355

zbMATH Keywords

discrete Morse theoryFarley-Sabalka gradient fieldcubical cup-producttree braid group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Relations of low-dimensional topology with graph theory (57M15) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items (1)

Bounds for the higher topological complexity of configuration spaces of trees

Cites Work

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• The cubical cohomology ring: an algorithmic approach
• On braid groups and right-angled Artin groups
• On rigidity and the isomorphism problem for tree braid groups.
• Graph 4-braid groups and Massey products
• Computational homology
• Topological complexity of \(n\) points on a tree
• Farley-Sabalka's Morse-theory model and the higher topological complexity of ordered configuration spaces on trees
• On the cohomology rings of tree braid groups.
• Discrete Morse theory and graph braid groups.
• Discrete morse theory and the cohomology ring
• Graph braid groups and right-angled Artin groups

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