{ "id": "1004.1068", "version": "v2", "published": "2010-04-07T12:38:30.000Z", "updated": "2010-04-19T06:27:00.000Z", "title": "Addendum to: \"An expansion of the Jones representation of genus 2 and the Torelli group\"", "authors": [ "Yasushi Kasahara" ], "comment": "3 pages. In this version, we changed the construction of the paper to treat the two previous papers equally, and also changed some exposition/expression.", "categories": [ "math.GT", "math.AT" ], "abstract": "We observe that the determinant of the representation provides a little restriction for the structure of the graded quotients $\\mathcal{G}_k^Q{F}$ introduced in both [Algebr. Geom. Topol. 1 (2001) 39-55] and [J. Knot Theory Ramifications 13 (2004) 297-306] that any one of them does not contain the trivial 1-dimensional summand.", "revisions": [ { "version": "v2", "updated": "2010-04-19T06:27:00.000Z" } ], "analyses": { "subjects": [ "57N05", "20F38", "20C08", "20F40" ], "keywords": [ "torelli group", "jones representation", "knot theory ramifications", "little restriction", "determinant" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1004.1068K" } } }