The Space of Clouds in Euclidean Space
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Publication:4818676
DOI10.1080/10586458.2004.10504521zbMath1053.55015arXivmath/0207107OpenAlexW2087616801MaRDI QIDQ4818676
Eugenio Rodriguez, Jean-Claude Hausmann
Publication date: 1 October 2004
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0207107
Momentum maps; symplectic reduction (53D20) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Algebraic topology on manifolds and differential topology (57R19)
Related Items (18)
Manifold properties of planar polygon spaces ⋮ On the zero-divisor-cup-length of spaces of oriented isometry classes of planar polygons ⋮ Homology of planar polygon spaces ⋮ Topological complexity of some planar polygon spaces ⋮ The Borsuk-Ulam theorem for planar polygon spaces ⋮ Symmetric configuration spaces of linkages ⋮ Homology of moduli spaces of linkages in high-dimensional Euclidean space ⋮ On the cohomology classes of planar polygon spaces ⋮ Critical configurations of planar multiple penduli ⋮ The moment polytope of the abelian polygon space ⋮ Geometric decompositions of collective motion ⋮ Topology of random linkages ⋮ Topological complexity of planar polygon spaces with small genetic code ⋮ Homology of planar telescopic linkages ⋮ \(K\)-theory and immersions of spatial polygon spaces ⋮ ON THE CONJECTURE OF KEVIN WALKER ⋮ HYPERSURFACES OF POLYGON SPACES ⋮ The Walker conjecture for chains in ℝd
Cites Work
- On the existence of slices for actions of non-compact Lie groups
- Inequalities defining orbit spaces
- Smooth functions invariant under the action of a compact Lie group
- The cohomology ring of polygon spaces
- The \(n\)-body problem and mutual distances
- The Homology of Singular Polygon Spaces
- Topology and geometry of equilateral polygon linkages in the Euclidean plane
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