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math.GT2000
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…
math.SG2000
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…