Foundations of Garside Theory
Patrick Dehornoy (LMNO), Francois Digne (LAMFA), Eddy Godelle (LMNO),, Daan Krammer, Jean Michel (IMJ)
TL;DR
This manuscript extends Garside's approach to braid groups, offering a unified algebraic framework, and is a comprehensive 703-page work currently under publication review.
Contribution
It provides a unified treatment of algebraic structures related to Garside theory, expanding the foundational understanding of braid groups.
Findings
Extended Garside approach to new algebraic structures
Unified framework for braid group algebraic structures
Comprehensive treatment in a 703-page manuscript
Abstract
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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