most citedPreons, Braid Topology, and Representations of Fundamental Particles

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math.GT2026

Multivariate Quandles as Groupoid Invariants

Xerxes D. Arsiwalla, Louis H. Kauffman

We introduce a new structural framework for constructing multivariate Alexander quandles based on a groupoid , composed of a disjoint union of delooping groupoids of deck…

math.GT2025

Knot Logic and Arborescent Links

Louis H Kauffman

This paper introduces a new algebra, the crossing algebra, that is applied to count the number of components for arborescent knots, links, tangles or states (of a state polynomial…