Homology of configuration spaces of hard squares in a rectangle

DOI10.2140/agt.2023.23.2593arXiv2010.14480MaRDI QIDQ6148482

Matthew Kahle, Kelly Spendlove, Robert MacPherson, Ulrich Bauer, Hannah Alpert

Publication date: 11 January 2024

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14480

zbMATH Keywords

configuration spaceshomologystatistical mechanics

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items (1)

Configuration spaces of disks in a strip, twisted algebras, persistence, and other stories

Cites Work

• Morse theory for cell complexes
• Configuration spaces of squares in a rectangle
• Configuration spaces of disks in an infinite strip
• A computational framework for connection matrix theory
• Restricting cohomology classes to disk and segment configuration spaces
• Min-Type Morse Theory for Configuration Spaces of Hard Spheres
• Distributed Computation of Persistent Homology

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