Models for configuration space in a simplicial complex

DOI10.4064/cm7331-5-2018zbMath1411.55009arXiv1706.06626OpenAlexW3104305163MaRDI QIDQ4614239

John D. Wiltshire-Gordon

Publication date: 30 January 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06626

zbMATH Keywords

configuration spacesimplicial complexbraid groupcombinatorial modelssimplicial difference

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Simplicial sets and complexes in algebraic topology (55U10) Abstract complexes in algebraic topology (55U05)

Related Items (4)

On the second homology of planar graph braid groups ⋮ Equivariant Nerve Lemma, simplicial difference, and models for configuration spaces on simplicial complexes ⋮ Subdivisional spaces and graph braid groups ⋮ Asymptotic homology of graph braid groups

Uses Software

• GAP
• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homotopy groups of diagonal complements
• On the structure of braid groups on complexes
• Topology of configuration space of two particles on a graph. I.
• On the Haefliger-Hirsch-Wu invariants for embeddings and immersions
• Configuration spaces of algebraic varieties
• FI-modules and stability for representations of symmetric groups
• Euler characteristic of the configuration space of a complex
• Homotopy Groups of Certain Deleted Product Spaces
• Configuration Spaces.
• Deleted Products of Spaces Which are Unions of Two Simplexes
• Some Examples Relating the Deleted Product to Imbeddability
• The Braid Groups.
• Isotopy invariants of topological spaces

This page was built for publication: Models for configuration space in a simplicial complex