{ "id": "1511.01115", "version": "v1", "published": "2015-11-03T21:19:00.000Z", "updated": "2015-11-03T21:19:00.000Z", "title": "Mutants of compactified representations revisited", "authors": [ "Matthias Franz", "Santiago López de Medrano", "John Malik" ], "comment": "14 pages", "categories": [ "math.AT" ], "abstract": "We show that the mutants of compactified representations constructed by Franz and Puppe can be written as intersections of real quadrics involving division algebras and as generalizations of polygon spaces. We also show that these manifolds are connected sums of products of spheres.", "revisions": [ { "version": "v1", "updated": "2015-11-03T21:19:00.000Z" } ], "analyses": { "subjects": [ "57S25", "14P25", "17A35", "57R91" ], "keywords": [ "compactified representations", "polygon spaces", "division algebras", "real quadrics", "intersections" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151101115F" } } }