{"paper":{"title":"Weil-Petersson geometry and determinant bundles on inductive limits of moduli spaces","license":"","headline":"","cross_cats":["dg-ga","hep-th","math.AG","math.DG"],"primary_cat":"alg-geom","authors_text":"Bombay), Indranil Biswas (Tata Institute, Los Angeles), Madras, Subhashis Nag (The Institute of Mathematical Sciences, University of Southern California","submitted_at":"1996-10-31T01:48:19Z","abstract_excerpt":"In an earlier paper [Acta Mathematica, v. 176, 1996, 145-169, alg-geom/9505024 ] the present authors and Dennis Sullivan constructed the universal direct system of the classical Teichm\\\"uller spaces of Riemann surfaces of varying genus. The direct limit, which we called the universal commensurability Teichm\\\"uller space, $T_{infty}$, was shown to carry on it a natural action of the universal commensurability mapping class group, $MC_{\\infty}$. In this paper we identify an interesting cofinal sub-system corresponding to the tower of finite-sheeted characteristic coverings over any fixed base su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9610020","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":""},"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"}