Cup products and the higher topological complexity of configuration spaces of the circle with two anchored points

DOI10.1007/s41468-024-00199-0MaRDI QIDQ6669857

Teresa I. Hoekstra-Mendoza

Publication date: 22 January 2025

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

zbMATH Keywords

discrete Morse theoryhigher topological complexityanchored configuration spacecubical cup product

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Products and intersections in homology and cohomology (55N45) Discrete Morse theory and related ideas in manifold topology (57Q70)

Cites Work

• The cubical cohomology ring: an algorithmic approach
• Higher topological complexity and its symmetrization
• Morse theory for cell complexes
• Topological complexity of motion planning
• Configuration spaces of labeled points on a circle with two anchors
• Discrete morse theory and the cohomology ring
• Cohomology ring of tree braid groups and exterior face rings
• Stirling complexes

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