{ "id": "1807.02337", "version": "v1", "published": "2018-07-06T10:10:46.000Z", "updated": "2018-07-06T10:10:46.000Z", "title": "The homotopy types of $Sp(2)$-gauge groups over closed, simply-connected four-manifolds", "authors": [ "Tseleung So", "Stephen Theriault" ], "comment": "20 pages", "categories": [ "math.AT" ], "abstract": "We determine the number of distinct fibre homotopy types for the gauge groups of principal $Sp(2)$-bundles over a closed, simply-connected four-manifold.", "revisions": [ { "version": "v1", "updated": "2018-07-06T10:10:46.000Z" } ], "analyses": { "subjects": [ "55P15", "81T13" ], "keywords": [ "gauge groups", "simply-connected four-manifold", "distinct fibre homotopy types" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }