{ "id": "1711.01550", "version": "v1", "published": "2017-11-05T09:22:21.000Z", "updated": "2017-11-05T09:22:21.000Z", "title": "On the Khovanov Homology of Surgeries", "authors": [ "Juan Manuel Burgos" ], "categories": [ "math.GT" ], "abstract": "We show a spectral sequence for the rational Khovanov homology of an oriented link in terms of the rational Khovanov complexes and homologies of the link surgeries along an admissible cut. As a non trivial corollary, we give an explicit splitting formula for the Jones polynomial.", "revisions": [ { "version": "v1", "updated": "2017-11-05T09:22:21.000Z" } ], "analyses": { "keywords": [ "rational khovanov homology", "non trivial corollary", "rational khovanov complexes", "link surgeries", "jones polynomial" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }