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- W4288096770 abstract "In this paper, we will develop a family of braid representations of Artin groups of type B from braided vector spaces, and identify the homology of these groups with these coefficients with the cohomology of a specific bimodule over a quantum shuffle algebra. As an application, we give a characterization of the homology of type-B Artin groups with coefficients in a family of one-dimensional braid representations over a field of characteristic 0. We will also discuss two different approaches to this computation: the first method extends a computation of the homology of braid groups due to Ellenberg-Tran-Westerland by means of induced representation, while the second method involves constructing a cellular stratification for configuration spaces of the punctured complex plane." @default.
- W4288096770 created "2022-07-28" @default.
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- W4288096770 date "2022-07-25" @default.
- W4288096770 modified "2023-09-29" @default.
- W4288096770 title "Fox-Neuwirth Cells, Quantum Shuffle Algebras, and the Homology of Type-B Artin Groups" @default.
- W4288096770 doi "https://doi.org/10.48550/arxiv.2207.12469" @default.
- W4288096770 hasPublicationYear "2022" @default.
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