{"paper":{"title":"Isomonodromic deformations of logarithmic connections and stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Jacques Hurtubise, Viktoria Heu","submitted_at":"2015-05-20T11:44:47Z","abstract_excerpt":"Let X_0 be a compact connected Riemann surface of genus g with D_0\\subset X_0 an ordered subset of cardinality n, and let E_G be a holomorphic principal G-bundle on X_0, where G is a complex reductive affine algebraic group, that admits a logarithmic connection \\nabla_0 with polar divisor D_0. Let (\\cal{E}_G, \\nabla) be the universal isomonodromic deformation of (E_G,\\nabla_0) over the universal Teichm\\\"uller curve (\\cal{X}, \\cal{D})\\rightarrow {Teich}_{g,n}, where {Teich}_{g,n} is the Teichm\\\"uller space for genus g Riemann surfaces with n-marked points. We prove the following:\n  Assume that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05327","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":""},"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"}