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- W2955696492 abstract "In this note we report on recent differential geometric constructions aimed at devising representations of braid groups in various contexts, together with some applications in different domains of mathematical physics. First, the classical Kohno construction for the 3- and 4-strand pure braid groups (P_3) and (P_4) is explicitly implemented by resorting to the Chen-Hain-Tavares nilpotent connections and to hyperlogarithmic calculus, yielding unipotent representations able to detect Brunnian and nested Brunnian phenomena. Physically motivated unitary representations of Riemann surface braid groups are then described, relying on Bellingeri’s presentation and on the geometry of Hermitian–Einstein holomorphic vector bundles on Jacobians, via representations of Weyl-Heisenberg groups." @default.
- W2955696492 created "2019-07-12" @default.
- W2955696492 creator A5059892325 @default.
- W2955696492 date "2019-01-01" @default.
- W2955696492 modified "2023-09-30" @default.
- W2955696492 title "On the Geometry of Some Braid Group Representations" @default.
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- W2955696492 doi "https://doi.org/10.1007/978-3-030-16031-9_14" @default.
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