TL;DR
This paper surveys the algebraic structure of braids with a selfdistributive operation, exploring known properties, quotients, extensions, and open questions in this mathematical framework.
Contribution
It provides a comprehensive overview of the selfdistributive structure on braid groups, highlighting known results and open problems in the field.
Findings
Detailed properties of the selfdistributive operation on braid groups
Analysis of quotients and extensions of the structure
Identification of open questions and research directions
Abstract
The braids of can be equipped with a selfdistributive operation enjoying a number of deep properties. This text is a survey of known properties and open questions involving this structure, its quotients, and its extensions.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory