{"paper":{"title":"A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Brian Krummel, Neshan Wickramasekera, Paul Minter","submitted_at":"2026-06-01T00:19:45Z","abstract_excerpt":"Suppose $\\mathcal{V}$ is a class of stationary integral $n$-varifolds in $B^{n+k}_2(0)\\subset\\mathbb{R}^{n+k}$ which is closed under weak limits, homotheties, rotations, and disjoint decomposition, and suppose that $\\mathcal {V}$ satisfies an $\\epsilon$-regularity property near planes of (integer) multiplicity $\\leq Q\\in \\{2,3,\\dotsc\\}$. This last condition, more precisely, requires that there be a constant $\\epsilon = \\epsilon({\\mathcal V}, Q) \\in (0, 1)$ such that if $V\\in \\mathcal{V}$ is, in the unit cylinder ${\\mathbb R}^{k} \\times B_{1}^{n}(0)$, $\\epsilon$-close as varifolds to the plane "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.01511","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/2606.01511/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"}