{ "id": "1802.06376", "version": "v1", "published": "2018-02-18T13:35:47.000Z", "updated": "2018-02-18T13:35:47.000Z", "title": "On the entropy norm on the group of diffeomorphisms of closed oriented surface", "authors": [ "Michael Brandenbursky", "Arpan Kabiraj" ], "comment": "7 pages", "categories": [ "math.GT", "math.DS", "math.GR" ], "abstract": "We prove that the entropy norm on the group of diffeomorphisms of a closed orientable surface of positive genus is unbounded.", "revisions": [ { "version": "v1", "updated": "2018-02-18T13:35:47.000Z" } ], "analyses": { "keywords": [ "closed oriented surface", "entropy norm", "diffeomorphisms" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }