Building planar polygon spaces from the projective braid arrangement (original) (raw)
Related papers
On The Moduli Space Of Polygons In The Euclidean Plane
Journal of differential geometry
The Borsuk-Ulam theorem for planar polygon spaces
Topology and its Applications
The braid monodromy of plane algebraic curves and hyperplane arrangements
Commentarii Mathematici Helvetici, 1997
Deformations of the braid arrangement and trees
Advances in Mathematics, 2018
Braid groups in complex projective spaces
Advances in Geometry, 2012
Bussei Kenkyu, 2009
Virtual braids from a topological viewpoint
Journal of Knot Theory and Its Ramifications, 2015
Braid monodromy of complex line arrangements
Kodai Mathematical Journal, 1999
From the icosahedron to natural triangulations
2016
Combinatorial Roadmaps in Configuration Spaces of Simple Planar Polygons
Dimacs Series in Discrete Mathematics and Theoretical Computer Science, 2001
Fulton-MacPherson compactification, cyclohedra, and the polygonal pegs problem
Israel Journal of Mathematics, 2011
Quasi regular polygons and their duals with Coxeter symmetries Dn represented by complex numbers
Journal of Physics: Conference Series, 2011
A 15-Vertex Triangulation of the Quaternionic Projective Plane
Discrete & Computational Geometry, 2019
A minimal triangulation of the quaternionic projective plane
Russian Mathematical Surveys, 2016
A generalized Desargues configuration and the pure braid group
Discrete Mathematics, 1996
Braid monodromy and topology of plane curves
Duke Mathematical Journal, 2003
Polygons derived from polygons via iterated constructions
2016
Braids, posets and orthoschemes
Algebraic & Geometric Topology, 2010
From the Icosahedron to Natural Triangulations of ℂP 2 and S 2×S 2
Discrete & Computational Geometry, 2010
Some Constructions of Small Generalized Polygons
Journal of Combinatorial Theory, Series A, 2001
On the Construction of Regular Polygons and Generalized Napoleon Vertices
2009
Configuration Spaces and Braid Groups
2011
Combinatorial Construction of Some Near Polygons
Journal of Combinatorial Theory, Series A, 1997
Equilibrium triangulations of the complex projective plane
Geometriae Dedicata, 1992
Journal of Combinatorial Theory, Series A, 2000
The fundamental group’s structure of the complement of some configurations of real line arrangements
Complex Analysis and Algebraic Geometry, 2000
The configuration space of equilateral and equiangular polygons with up to 6 vertices
The Symplectic Geometry of Polygons in Euclidean Space
Journal of differential geometry
Universality theorems for configuration spaces of planar linkages
Topology, 2002
Global geometry of polygons. I: The theorem of Fabricius-Bjerre
Proceedings of the American Mathematical Society, 1974
Möbius Transformations of Polygons and Partitions of 3-SPACE
Journal of Knot Theory and Its Ramifications, 2008