Topological invariants of sorting networks
Maxim Arnold, Christian Kondor
TL;DR
This paper explores the topological invariants associated with sorting networks, specifically focusing on finite-type invariants of pure braids derived from signed sorting networks, contributing to the understanding of their mathematical structure.
Contribution
It introduces a novel connection between sorting networks and topological invariants of pure braids, expanding the theoretical framework in this area.
Findings
Identification of finite-type invariants for pure braids from signed sorting networks
Establishment of a new link between sorting networks and braid topology
Potential applications in mathematical and computational topology
Abstract
In this note we investigate finite-type invariants of the pure braids arising from signed sorting networks.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Topological and Geometric Data Analysis