Novel solution reduces complexity of conjugacy in braid groups, suggesting implications for algebraic topology.
AbstractThis paper presents a novel solution to the Conjugacy Problem within ArtinBraid Groups (Bn) by implementing the Sexagesimal Harmony Algorithm(AAS). By mapping braid generators into a modulo-60 modular manifold, we identify invariant resonance nodes. We demonstrate that the complexity of determiningconjugacy, traditionally exponential in non-abelian groups, is reduced to polynomial time through the identification of sexagesimal residue matrices. This approachbridges topographic engineering principles with high-level algebraic topology
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Jorge Alexander López Miranda (2026) studied this question.
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