SeriesFusion | Math & StatisticsMath & Statistics papers published by SeriesFusion.https://seriesfusion.comA 76-year-old mathematics conjecture may have a proof, built from geometric cycles that turn invisible cohomology classes into algebraic objects.https://seriesfusion.com/paper/cw_357982395daed3833d92https://seriesfusion.com/paper/cw_357982395daed3833d92Relative Secant Cycles and Hodge Classes | Pure Math. Original: 10.20944/preprints202602.0462.v5Fri, 07 Aug 2026 12:00:00 GMTPure Mathpure-mathEvery complex matrix has a numerical range that controls its holomorphic functions within the optimal factor of two. The proof settles Crouzeix's conjecture through a positive-real completion theorem and approximation arguments.https://doi.org/10.20944/preprints202607.1919.v3https://doi.org/10.20944/preprints202607.1919.v3The Numerical Range Is a 2-Spectral Set | Pure Math. Original: 10.20944/preprints202607.1919.v3Fri, 07 Aug 2026 12:00:00 GMTPure Mathpure-math