{"paper":{"title":"Exotic Holonomy on Moduli Spaces of Rational Curves","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"dg-ga","authors_text":"Lorenz J Schwachh\\\"ofer, Quo-Shin Chi","submitted_at":"1995-01-02T15:14:17Z","abstract_excerpt":"Bryant \\cite{Br} proved the existence of torsion free connections with exotic holonomy, i.e. with holonomy that does not occur on the classical list of Berger \\cite{Ber}. These connections occur on moduli spaces $\\Y$ of rational contact curves in a contact threefold $\\W$. Therefore, they are naturally contained in the moduli space $\\Z$ of all rational curves in $\\W$. We construct a connection on $\\Z$ whose restriction to $\\Y$ is torsion free. However, the connection on $\\Z$ has torsion unless both $\\Y$ and $\\Z$ are flat. We also show the existence of a new exotic holonomy which is a certain si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"dg-ga/9501001","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"}