{ "id": "1501.04866", "version": "v1", "published": "2015-01-20T16:23:35.000Z", "updated": "2015-01-20T16:23:35.000Z", "title": "The Alexander module, Seifert forms, and categorification", "authors": [ "Jennifer Hom", "Tye Lidman", "Liam Watson" ], "comment": "80 pages, 21 figures, uses color", "categories": [ "math.GT" ], "abstract": "We show that bordered Floer homology provides a categorification of a TQFT described by Donaldson. This, in turn, leads to a proof that both the Alexander module of a knot and the Seifert form are completely determined by Heegaard Floer theory.", "revisions": [ { "version": "v1", "updated": "2015-01-20T16:23:35.000Z" } ], "analyses": { "keywords": [ "alexander module", "seifert form", "categorification", "heegaard floer theory", "bordered floer homology" ], "note": { "typesetting": "TeX", "pages": 80, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150104866H" } } }