{"paper":{"title":"Topological computation of some Stokes phenomena on the affine line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AG","authors_text":"Andrea D'Agnolo, Claude Sabbah, Giovanni Morando, Marco Hien","submitted_at":"2017-05-22T08:41:43Z","abstract_excerpt":"Let $\\mathcal M$ be a holonomic algebraic $\\mathcal D$-module on the affine line, regular everywhere including at infinity. Malgrange gave a complete description of the Fourier-Laplace transform $\\widehat{\\mathcal M}$, including its Stokes multipliers at infinity, in terms of the quiver of $\\mathcal M$. Let $F$ be the perverse sheaf of holomorphic solutions to $\\mathcal M$. By the irregular Riemann-Hilbert correspondence, $\\widehat{\\mathcal M}$ is determined by the enhanced Fourier-Sato transform $F^\\curlywedge$ of $F$. Our aim here is to recover Malgrange's result in a purely topological way,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07610","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1705.07610/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}