{ "id": "1503.00501", "version": "v1", "published": "2015-03-02T12:38:53.000Z", "updated": "2015-03-02T12:38:53.000Z", "title": "Configuration categories and homotopy automorphisms", "authors": [ "Michael S Weiss" ], "categories": [ "math.AT" ], "abstract": "Let M be a smooth compact manifold with boundary. Under some geometric conditions on M, a homotopical model for the boundary of M can be recovered from the configuration category of the interior of M. The grouplike monoid of derived homotopy automorphisms of the configuration category of the interior of M then acts on the homotopical model of the boundary of M, in a way which is compatible with the action of the homeomorphism group of M on the boundary of M.", "revisions": [ { "version": "v1", "updated": "2015-03-02T12:38:53.000Z" } ], "analyses": { "subjects": [ "57R19", "55P65" ], "keywords": [ "configuration category", "homotopical model", "smooth compact manifold", "geometric conditions", "derived homotopy automorphisms" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150300501W" } } }