Homology of planar polygon spaces

DOI10.1007/s10711-007-9139-7zbMath1132.52024arXivmath/0609140OpenAlexW2058661468MaRDI QIDQ2642382

Dirk Schuetz, Michael S. Farber

Publication date: 20 August 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609140

zbMATH Keywords

Morse theoryconfiguration spaceBetti numbersrobot armpolygon spacesvarieties of linkages

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Automated systems (robots, etc.) in control theory (93C85) Polyhedra and polytopes; regular figures, division of spaces (51M20) Moduli problems for topological structures (58D29) General geometric structures on low-dimensional manifolds (57M50) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Critical points and critical submanifolds in differential topology (57R70) Algebraic topology on manifolds and differential topology (57R19)

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Cites Work

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• The Space of Clouds in Euclidean Space
• Topology and geometry of equilateral polygon linkages in the Euclidean plane
• On the moduli space of polygons in the Euclidean plane