The cohomology ring of polygon spaces

DOI10.5802/aif.1619zbMath0903.14019arXivdg-ga/9706003OpenAlexW2048159974MaRDI QIDQ1265663

Publication date: 22 September 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9706003

zbMATH Keywords

toric varieties Gröbner bases integer cohomology rings polygon spaces

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Classical real and complex (co)homology in algebraic geometry (14F25)

Related Items

Hyperpolygon spaces and their cores, THE CONFIGURATION SPACE OF A CERTAIN ROBOT ARM, Manifold properties of planar polygon spaces, Flexible polyhedra and their volumes, HOMOTOPY GROUPS OF MODULI SPACES OF STABLE QUIVER REPRESENTATIONS, On the zero-divisor-cup-length of spaces of oriented isometry classes of planar polygons, Integrable systems in planar robotics, Configuration spaces of spatial linkages: Taking Collisions Into Account, Conjugation spaces and edges of compatible torus actions, Homology of planar polygon spaces, The Space of Clouds in Euclidean Space, The configuration space of \(n\)-tuples of equiangular unit vectors for \(n = 3\), \(4\), and \(5\), Unnamed Item, On the Configurations of Closed Kinematic Chains in Three-dimensional Space, Topological complexity of some planar polygon spaces, The Borsuk-Ulam theorem for planar polygon spaces, Moduli spaces of semitoric systems, Involutions on \(S^6\) with 3-dimensional fixed point set, The configuration space of the \(n\)-arms machine in the Euclidean space, THE DIFFERENTIAL STRUCTURE ON THE CONFIGURATION SPACE OF A MATHEMATICAL MODEL FOR CYCLOALKENES, Maximal tori in contactomorphism groups, The realizable extension problem and the weighted graph \((K _{3,3}, l)\), Volume formula for \(N\)-fold reduced products, Generic singular configurations of linkages, Conjugations on 6-manifolds with free integral cohomology, Morse theory for discrete magnetic operators and nodal count distribution for graphs, Homology of moduli spaces of linkages in high-dimensional Euclidean space, On the cohomology classes of planar polygon spaces, Cohomology rings of moduli of point configurations on the projective line, Maximal Hamiltonian tori for polygon spaces., The height of a class in the cohomology ring of polygon spaces, The moment polytope of the abelian polygon space, INTERSECTION THEORY ON SYMPLECTIC QUOTIENTS OF PRODUCTS OF SPHERES, On the Configuration Space of Planar Closed Kinematic Chains, Conjugations on 6-manifolds, Symplectic volumes of certain symplectic quotients associated with the special unitary group of degree three, Topology of random linkages, Topological complexity of planar polygon spaces with small genetic code, Moduli spaces of toric manifolds, Chern numbers of the moduli space of spatial polygons, Homology of planar telescopic linkages, The cohomology ring of weight varieties and polygon spaces, Series parallel linkages, Some remarks on Betti numbers of random polygon spaces, \(K\)-theory and immersions of spatial polygon spaces, Relative topological complexity of a pair, Intersection homology of linkage spaces, Compactifications of \(\mathcal{M}_{0,n}\) associated with Alexander self-dual complexes: Chow rings, \( \psi \)-classes, and intersection numbers, Geometric presentation for the cohomology ring of polygon spaces, Topological complexity of spatial polygon spaces, Cohomology rings of symplectic cuts, ON THE CONJECTURE OF KEVIN WALKER, HYPERSURFACES OF POLYGON SPACES, HOMOLOGY CLASSES REPRESENTED BY HYPERSURFACES OF PLANAR POLYGON SPACES, Intersection numbers of polygon spaces, Topological and kinematic singularities for a class of parallel mechanisms, The topology of spaces of polygons, An n-dimensional Klein bottle, Conjugation spaces, Chow rings of fine quiver moduli are tautologically presented, The symplectic geometry of closed equilateral random walks in 3-space

Cites Work