Foundations of Garside Theory

By Patrick Dehornoy, F. Digne, Eddy Godelle, Daan Krammer, Jean Michel. 2013

173 citations recorded by the source corpus.

FOUNDATIONS OF GARSIDE THEORYPatrick DEHORNOYwithFranc¸ois DIGNEEddy GODELLEDaan KRAMMERJean MICHELThis text consists of the introduction, table of contents, and bibliography of along manuscript (703 pages) that is currently submitted for publication. This man-uscript develops an extension of Garside’s approach to braid groups and provides aunified treatment for the various algebraic structures that appear in this context.The complete text can be found athttp://www.math.unicaen.fr/∼garside/Garside.pdf.Comments are welcome.IntroductionAnatural,butslowlyemergingprogram. In his PhD thesis prepared under the su-pervision of Graham Higman and defended in 1965 [113], and in the article that fol-lowed [114], Frank A.Garside (1915–1988)solved the Conjugacy Problem of Artin’sbraid group B

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/09e15d1017a4cd9c31f8a220b5117c05aacfd820

Citations in the corpus

• Coherent presentations of Artin monoids (2012, unknown): “We refer to [20] for proofs.”