{ "id": "1110.2076", "version": "v2", "published": "2011-10-10T15:30:21.000Z", "updated": "2011-10-12T21:32:39.000Z", "title": "Colored sl(N) link homology via matrix factorizations", "authors": [ "Hao Wu" ], "comment": "46 pages, 27 figures. This is a condensed version of [arXiv:0907.0695]", "categories": [ "math.GT" ], "abstract": "The Reshetikhin-Turaev sl(N) polynomial of links colored by wedge powers of the defining representation has been categorified via several different approaches. Here, we give a concise introduction to the categorification using matrix factorizations, which is a direct generalization of the Khovanov-Rozansky homology. Full details of the construction are given in [arXiv:0907.0695]. We also briefly review deformations and applications of this categorification given in [arXiv:1002.2662, arXiv:1011.2254, arXiv:1102.0586].", "revisions": [ { "version": "v2", "updated": "2011-10-12T21:32:39.000Z" } ], "analyses": { "subjects": [ "57M25" ], "keywords": [ "matrix factorizations", "link homology", "colored sl", "wedge powers", "concise introduction" ], "note": { "typesetting": "TeX", "pages": 46, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1110.2076W" } } }