Quantization of bending deformations of polygons in Euclidean space, hypergeometric integrals and the Gassner representation

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dc.creatorKapovich, Michael
dc.creatorMillson, John J.
dc.date2000-02-25
dc.date.accessioned2026-07-07T04:34:05Z
dc.date.available2026-07-07T04:34:05Z
dc.descriptionWe 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 group. This linearization yields a flat connection on the space of n distinct points on the complex line. We show that the monodromy is (essentially) the Gassner representation.
dc.identifierhttps://arxiv.org/abs/math/0002222
dc.identifierhttp://arxiv.org/abs/math/0002222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58766
dc.subjectSymplectic Geometry
dc.subject53D30,53D50
dc.titleQuantization of bending deformations of polygons in Euclidean space, hypergeometric integrals and the Gassner representation
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