An abstract approach to algebras of braids and ties
Riccardo Fasano, Domenico Fiorenza, Paolo Papi
TL;DR
This paper presents a unified abstract framework for various existing and new algebras related to braids and ties, expanding the mathematical understanding of these algebraic structures.
Contribution
It introduces a comprehensive abstract approach that encompasses all known and new braids and ties algebras in a single unified construction.
Findings
Unified construction of all known braids and ties algebras
Introduction of new braids and ties algebras
Enhanced understanding of algebraic structures related to braids
Abstract
Generalizing work of Marin [12], we construct in a unified way all the "braids and ties'' algebras available in literature and new ones.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research