5 citations · 10 across the 4 of their papers we have counts for
11 papers
Structure of the tensor product semigroup
Michael Kapovich, John J. Millson
We study structure of the semigroup Tens(G) consisting of triples of dominant weights (λ,μ,ν) of a complex reductive Lie group G such that the triple tensor product of the correspo…
Polygons in buildings and their refined side lengths
Michael Kapovich, Bernhard Leeb, John J. Millson
As in a symmetric space of noncompact type, one can associate to an oriented geodesic segment in a Euclidean building a vector valued length in the Euclidean Weyl chamber; in addit…
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
Michael Kapovich, Bernhard Leeb, John J. Millson
In this paper we apply our results on the geometry of polygons in Cartan subspaces, symmetric spaces and buildings to four problems in algebraic group theory. Two of these problems…
Conformally flat metrics on 4-manifolds
Michael Kapovich
We prove that for each closed smooth spin 4-manifold M there exists a closed smooth 4-manifold N such that the connected sum M # N admits a conformally flat Riemannian metric.
Van Kampen's embedding obstruction for discrete groups
Mladen Bestvina, Michael Kapovich, Bruce Kleiner
We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the -fold product of nonab…
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…