Quantization of Bending Deformations of Polygons In , Hypergeometric Integrals and the Gassner Representation
2001 ◽
Vol 44
(1)
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pp. 36-60
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AbstractThe Hamiltonian potentials of the bending deformations of n-gons instudied in [KM] and [Kly] give rise to a Hamiltonian action of the Malcev Lie algebra𝓟nof the pure braid groupPnon the moduli spaceMrofn-gon linkages with the side-lengthsr = (r1, … , rn)in. Ife∈Mris a singular point wemay linearize the vector fields in𝓟nate. This linearization yields a flat connection ∇ on the spaceof n distinct points on. We show that the monodromy of ∇ is the dual of a quotient of a specialized reduced Gassner representation.
1968 ◽
Vol 130
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pp. 105-105
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1984 ◽
Vol 96
(1)
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pp. 45-60
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2019 ◽
Vol 223
(8)
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pp. 3581-3593
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2016 ◽
pp. 277-291
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2020 ◽
Vol 29
(01)
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pp. 1950097
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