{ "id": "1804.05746", "version": "v1", "published": "2018-04-16T15:40:46.000Z", "updated": "2018-04-16T15:40:46.000Z", "title": "On the skein module of the product of a surface and a circle", "authors": [ "Patrick M. Gilmer", "Gregor Masbaum" ], "comment": "15 pages, 1 figure", "categories": [ "math.GT", "math.QA" ], "abstract": "Let Sigma be a closed oriented surface of genus g. We show that the Kauffman bracket skein module of Sigma x S^1 over the field of rational functions in A has dimension at least 2^{2g+1}+2g-1.", "revisions": [ { "version": "v1", "updated": "2018-04-16T15:40:46.000Z" } ], "analyses": { "subjects": [ "57N10", "57M99", "57R56" ], "keywords": [ "kauffman bracket skein module", "rational functions", "closed oriented surface" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }