{"paper":{"title":"Topological Dynamics on Moduli Spaces, I","license":"","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Eugene Z. Xia, Joseph P. Previte","submitted_at":"1999-10-02T20:42:41Z","abstract_excerpt":"Let M be a one-holed torus with boundary $\\partial M$ (a circle) and $\\Gamma$ the mapping class group of M fixing $\\partial M$. The group $\\Gamma$ acts on ${\\mathcal M}_{\\mathcal C}(SU(2))$ which is the space of SU(2)-gauge equivalence classes of flat SU(2)-connections on M with fixed holonomy on $\\partial M$. We study the topological dynamics of the $\\Gamma$-action and give conditions for the individual $\\Gamma$-orbits to be dense in ${\\mathcal M}_{\\mathcal C}(SU(2))$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9910008","kind":"arxiv","version":2},"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/math/9910008/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"}