{"paper":{"title":"Elliptic Boundary Value Problems and Partial Group Actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.FA"],"primary_cat":"math.OA","authors_text":"Anton Yu. Savin, Elmar Schrohe, Eske Ewert","submitted_at":"2026-05-28T10:46:55Z","abstract_excerpt":"We consider a smooth compact manifold with boundary, $M$, embedded in a smooth manifold of the same dimension on which an amenable group $\\Gamma$ acts by isometries. We do not assume $M$ to be invariant under $\\Gamma$. This results in a {\\em partial action} of $\\Gamma$ on $M^\\circ$: For $g\\in \\Gamma$ we let $M^\\circ_g = g(M^\\circ)\\cap M^\\circ$ and obtain diffeomorphisms $g:M^\\circ_{g^{-1}} \\to M^\\circ_g$.\n  We assume that any two images of $\\partial M$ under $ \\Gamma$ either coincide or are disjoint and that only finitely many lie in $M$. The spherical blow-up of these images of $\\partial M$ i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29750","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/2605.29750/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"}