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On T-positive links

math.GT · 2026-05-11 · unverdicted · novelty 6.0

T-positive links are precisely the strongly quasipositive links that are closures of T-homogeneous braids, strictly containing non-split braid positive links, with all strongly quasipositive fibered knots up to 12 crossings being T-positive.

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  • Empirical Hodge Laplacians: Spectral Convergence and Harmonic Forms from Point Clouds math.DG · 2026-05-21 · unverdicted · none · ref 16 · 2 links

    Constructs empirical Hodge operators on point clouds that converge in probability to the true Hodge Laplacian, recovering Betti numbers and harmonic k-forms consistently.

  • On T-positive links math.GT · 2026-05-11 · unverdicted · none · ref 175

    T-positive links are precisely the strongly quasipositive links that are closures of T-homogeneous braids, strictly containing non-split braid positive links, with all strongly quasipositive fibered knots up to 12 crossings being T-positive.