{"paper":{"title":"Exotic disks and singular instanton Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Abhishek Mallick, Irving Dai, Masaki Taniguchi","submitted_at":"2026-06-04T07:59:54Z","abstract_excerpt":"We show that singular instanton Floer homology with the Chern--Simons filtration can be used to produce exotic pairs of slice disks. We moreover construct a strongly invertible $\\mathbb{Z}$-slice knot for which any symmetric pair of $\\mathbb{Z}$-disks are exotic, and remain exotic after stabilizing by $n\\smash{\\mathbb{CP}}^2$ or $n\\smash{\\overline{\\mathbb{CP}}}^2$ (or by standard $n\\smash{\\mathbb{RP}}^2$ or $-n\\smash{\\mathbb{RP}}^2$) for any $n$. Our methods apply more generally to stabilization by any simply connected definite manifold, or by any number of exotic embedded projective planes of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05819","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/2606.05819/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"}