18 citations · 35 across the 8 of their papers we have counts for
4 papers · 1 filter
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type
Shrawan Kumar, Bernhard Leeb, John J. Millson
We compute the generalized triangle inequalities explicitly for all rank 3 symmetric spaces. We find that for Sp(6) the corresponding polyhedral cone has 102 facets and 51 edges.
Bending flows for sums of rank one matrices
Hermann Flaschka, John Millson
We study certain symplectic quotients of n-fold products of complex projective m-space by the unitary group acting diagonally. After studying nonemptiness and smoothness these quot…
Quantization of bending deformations of polygons in Euclidean space, hypergeometric integrals and the Gassner representation
Michael Kapovich, John J. Millson
We quantize the bending deformations of n-gon linkages by linearizing the bending fields at a degenerate n-gon to get a representation of the Malcev Lie algebra of the pure braid g…
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…