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- W4298115450 abstract "This paper gives a new, simplified presentation of the classical pure braid group. The generators are given by the squares of the longest elements over connected subgraphs, and we prove that the only relations are either commutators or certain palindromic length 5 box relations. This presentation is motivated by twist functors in algebraic geometry, but the proof is entirely Coxeter-theoretic. We also prove that the analogous set does not generate for all Coxeter arrangements, which in particular answers a question of Donovan and Wemyss." @default.
- W4298115450 created "2022-10-01" @default.
- W4298115450 creator A5022345296 @default.
- W4298115450 date "2022-08-03" @default.
- W4298115450 modified "2023-09-30" @default.
- W4298115450 title "Pure Braid Group Presentations via Longest Elements" @default.
- W4298115450 doi "https://doi.org/10.48550/arxiv.2208.02120" @default.
- W4298115450 hasPublicationYear "2022" @default.
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