23 citations · 149 across the 33 of their papers we have counts for
4 papers · 1 filter
Convex functions on symmetric spaces, side lengths of polygons and stability inequalities for weighted configurations at infinity
Misha Kapovich, Bernhard Leeb, John J. Millson
In a symmetric space of noncompact type X = G/K oriented geodesic segments correspond to points in the Euclidean Weyl chamber. We can hence assign vector-valued side-lengths to seg…
The cohomology with local coefficients of compact hyperbolic manifolds - long version
John J. Millson
We extend the techniques developed by Millson and Raghunathan to prove nonvanishing results for the cohomology of compact arithmetic quotients of hyperbolic n-space with values in…
Casimir Operators and Monodromy Representations of Generalised Braid Groups
J. J. Millson, V. Toledano-Laredo
Let g be a complex, simple Lie algebra with Cartan subalgebra h and Weyl group W. We construct a one-parameter family of flat connections D on h with values in any finite-dimension…
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.