On the moduli space of polygons in the Euclidean plane
From MaRDI portal
Publication:5917751
DOI10.4310/jdg/1214457034zbMath0847.51026OpenAlexW1520783297MaRDI QIDQ5917751
John J. Millson, Michael Kapovich
Publication date: 20 March 1996
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214457034
Moduli problems for differential geometric structures (58D27) Polytopes and polyhedra (52B99) Real and complex geometry (51M99)
Related Items (40)
Fundamental group of spaces of simple polygons ⋮ Volume Frameworks and Deformation Varieties ⋮ Homology of planar polygon spaces ⋮ On the moduli spaces of multipolygonal linkages in the plane ⋮ Hodge theory and the art of paper folding ⋮ On the Configurations of Closed Kinematic Chains in Three-dimensional Space ⋮ Complex geometry of polygonal linkages ⋮ The fundamental group of the moduli space of polygons in the Euclidean plane ⋮ Dynamics on flag manifolds: domains of proper discontinuity and cocompactness ⋮ Kuramoto Networks with Infinitely Many Stable Equilibria ⋮ Moduli spaces of bicentric quadrilaterals ⋮ Extremal areas of polygons with fixed perimeter ⋮ On the area of constrained polygonal linkages ⋮ Quasi-local holographic dualities in non-perturbative 3d quantum gravity. I: Convergence of multiple approaches and examples of Ponzano-Regge statistical duals ⋮ Centered configurations of open linkages ⋮ Swap action on moduli spaces of polygonal linkages ⋮ COMPACTNESS OF SPACES OF CONVEX AND SIMPLE QUADRILATERALS ⋮ Degenerate band edges in periodic quantum graphs ⋮ Polygons with prescribed edge slopes: configuration space and extremal points of perimeter ⋮ The Euler characteristic of the configuration space of planar spidery linkages ⋮ On the Configuration Space of Planar Closed Kinematic Chains ⋮ A classification of configuration spaces of planar robot arms for a continuous inverse kinematics problem ⋮ Topology of random linkages ⋮ Moduli spaces of toric manifolds ⋮ On the elliptic curves arising from 4-bar mechanisms ⋮ Homology of planar telescopic linkages ⋮ Compact surfaces as configuration spaces of mechanical linkages ⋮ Extremal configurations of robot arms in three dimensions ⋮ Multidimensional residues and polynomial equations ⋮ Flat connections on a punctured sphere and geodesic polygons in a Lie group ⋮ Symplectic geometry and connectivity of spaces of frames ⋮ Epicycles in the hyperbolic sky ⋮ ON THE CONJECTURE OF KEVIN WALKER ⋮ Configuration spaces of planar mechanical linkages with one degree of freedom ⋮ The topology of spaces of polygons ⋮ Homology of the configuration spaces of quasi-equilateral polygon linkages ⋮ Cross-ratios of quadrilateral linkages ⋮ On configuration spaces of planar pentagons ⋮ Spaces of polygons degenerated to segments ⋮ Möbius Strips, Knots, Pentagons, Polyhedra, and the SURFER Software
This page was built for publication: On the moduli space of polygons in the Euclidean plane