{ "id": "2206.11475", "version": "v1", "published": "2022-06-23T04:12:02.000Z", "updated": "2022-06-23T04:12:02.000Z", "title": "Weakly framed surface configurations, Heisenberg homology and Mapping Class Group action", "authors": [ "Awais Shaukat", "Christian Blanchet" ], "comment": "10 pages, 1 figure", "categories": [ "math.GT" ], "abstract": "We obtain representations of the f-based Mapping Class Group of oriented punctured surfaces from an action of mapping classes on Heisenberg homologies of a circle bundle over surface configurations.", "revisions": [ { "version": "v1", "updated": "2022-06-23T04:12:02.000Z" } ], "analyses": { "subjects": [ "57K20", "55R80", "55N25", "20C12", "19C09" ], "keywords": [ "mapping class group action", "weakly framed surface configurations", "heisenberg homology", "f-based mapping class group", "circle bundle" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }