2 papers
math.DG2000
The Symplectic Geometry of Polygons in the 3-sphere
Thomas Treloar
We study the symplectic geometry of the moduli spaces $M_r=M_r(\s^3)$ of closed n-gons with fixed side-lengths in the 3-sphere. We prove that these moduli spaces have symplectic st…
math.SG1999
The symplectic geometry of polygons in hyperbolic 3-space
Michael Kapovich, John J. Millson, Thomas Treloar
We study the symplectic geometry of the moduli space of closed n-gons with fixed side-lengths in hyperbolic 3-space. We prove that these moduli spaces have a symplectic structure c…