{ "id": "2103.03792", "version": "v1", "published": "2021-03-05T16:43:49.000Z", "updated": "2021-03-05T16:43:49.000Z", "title": "Ginzburg algebras and the Hitchin connection for parabolic G-bundles", "authors": [ "Indranil Biswas", "Swarnava Mukhopadhyay", "Richard Wentworth" ], "comment": "57 pp. Comments welcome!", "categories": [ "math.AG", "hep-th", "math.DG", "math.RT" ], "abstract": "For a simple, simply connected, complex group G, we prove the existence of a flat projective connection on the bundle of nonabelian theta functions on the moduli space of semistable parabolic G-bundles over families of smooth projective curves with marked points.", "revisions": [ { "version": "v1", "updated": "2021-03-05T16:43:49.000Z" } ], "analyses": { "subjects": [ "14H60", "32G34", "53D50", "81T40", "14F08" ], "keywords": [ "hitchin connection", "ginzburg algebras", "nonabelian theta functions", "smooth projective curves", "flat projective connection" ], "note": { "typesetting": "TeX", "pages": 57, "language": "en", "license": "arXiv", "status": "editable" } } }