Conway’s potential function via the Gassner representation
نویسندگان
چکیده
منابع مشابه
On the Kernel of the Gassner Representation
We study the Gassner representation of the pure braid group Pn by considering its restriction to a free subgroup F . The kernel of the restriction is shown to lie in the subgroup [ΓF,ΓF ], sharpening a result of Lipschutz.
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The Hamiltonian potentials of the bending deformations of n-gons in E3 studied in [KM] and [Kly] give rise to a Hamiltonian action of the Malcev Lie algebra Pn of the pure braid group Pn on the moduli space Mr of n-gon linkages with the side-lengths r = (r1, ..., rn) in E 3. If e ∈ Mr is a singular point we may linearize the vector fields in Pn at e. This linearization yields a flat connection ...
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2020
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2020.v24.n1.a4