On the generic existence of WKB spectral networks/Stokes graphs

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Tatsuki Kuwagaki This is my paper · ORCID

classification math.SGhep-thmath.CAmath.GT

keywords spectralexistencegenericnetworksclassdatagraphslarge

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We prove the generic existence of spectral networks for a large class of spectral data.

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Spectral networks for polynomial cubic differentials
math.AG 2025-07 conditional novelty 7.0 of 10

For polynomial cubic differentials of degree at most 3, the new spectral core determines all spectral network degenerations and produces a BPS structure satisfying the Kontsevich-Soibelman wall-crossing formula.