Farley-Sabalka's Morse-theory model and the higher topological complexity of ordered configuration spaces on trees

DOI10.1007/s00454-021-00306-3zbMath1492.55009arXiv1911.12522OpenAlexW3175811204MaRDI QIDQ2066312

Yanyan Li

Publication date: 14 January 2022

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

Full work available at URL: https://arxiv.org/abs/1911.12522

zbMATH Keywords

topological complexitydiscrete Morse theorydiscretized configuration space on treeFarley-Sabalka gradient field

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Braid groups; Artin groups (20F36) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Relations of low-dimensional topology with graph theory (57M15) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Artificial intelligence for robotics (68T40) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items (2)

The topological complexity of pure graph braid groups is stably maximal ⋮ Cohomology ring of tree braid groups and exterior face rings

Cites Work

• Unnamed Item
• Spaces of topological complexity one
• Higher topological complexity and its symmetrization
• Equivariant discrete Morse theory
• Morse theory for cell complexes
• Topological complexity of \(n\) points on a tree
• Discrete Morse theory and graph braid groups.
• Topological complexity of configuration spaces of fully articulated graphs and banana graphs
• Presentations of graph braid groups
• CONFIGURATION SPACES AND ROBOT MOTION PLANNING ALGORITHMS
• Graph braid groups and right-angled Artin groups

This page was built for publication: Farley-Sabalka's Morse-theory model and the higher topological complexity of ordered configuration spaces on trees