{"paper":{"title":"Corner contributions to Neumann jump determinants: three model calculations and a BFK conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CV","math.DG","math.FA","math.MP"],"primary_cat":"math.SP","authors_text":"Victor Kalvin","submitted_at":"2026-07-27T01:01:09Z","abstract_excerpt":"We formulate a local corner-factor conjecture for the determinant of the Neumann jump operator on a piecewise real-analytic cutting curve. For the mirror double of a simply connected geodesic polygon with interior angles $\\pi\\alpha_1,\\ldots,\\pi\\alpha_N$, the conjectural determinant is \\[\n  \\Det_{\\angle}'\\cN\n  =\n  \\frac{\\length(\\partial P)}2\n  \\prod_{j=1}^N\\alpha_j^{-1/2}. \\] Here $\\Det_{\\angle}'$ denotes an intrinsic determinant, still to be constructed, that is required to satisfy a Burghelea--Friedlander--Kappeler gluing formula; only its quotient by $\\length(\\partial P)$ is purely angle-dep"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23912","kind":"arxiv","version":1},"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/2607.23912/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"}