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Foundations of Garside Theory

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arxiv 1309.0796 v1 pith:VRH6Q7ZI submitted 2013-09-03 math.GR

Patrick Dehornoy (LMNO) , Francois Digne (LAMFA) , Eddy Godelle (LMNO) , Daan Krammer , Jean Michel (IMJ) This is my paper · ORCID
classification math.GR
keywords garsidemanuscripttextalgebraicappearapproachbibliographybraid
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This text consists of the introduction, table of contents, and bibliography of a long manuscript (703 pages) that is currently submitted for publication. This manuscript develops an extension of Garside's approach to braid groups and provides a unified treatment for the various algebraic structures that appear in this context. The complete text can be found at http://www.math.unicaen.fr/~garside/Garside.pdf.

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  1. Directed Homotopy in Non-Positively Curved Spaces

    cs.LO 2019-08 conditional novelty 7.0 of 10

    In non-positively curved precubical sets, which model mutex-only concurrent programs, two directed paths are homotopic if and only if they are dihomotopic.

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