{ "id": "1804.08400", "version": "v1", "published": "2018-04-23T13:31:51.000Z", "updated": "2018-04-23T13:31:51.000Z", "title": "Moduli of surface diffeomorphisms with cubic tangencies", "authors": [ "Shinobu Hashimoto" ], "comment": "24 pages, 17 figures, Tokyo J. Math. 2019", "doi": "10.3836/tjm/1502179278", "categories": [ "math.DS" ], "abstract": "In this paper, we study conjugacy invariants for 2-dimensional diffeomorphisms with homoclinic cubic tangencies (two-sided tangencies of the lowest order) under certain open conditions. Ordinary arguments used in past studies of conjugacy invariants associated with one-sided tangencies do not work in the two-sided case. We present a new method which is applicable to the two-sided case.", "revisions": [ { "version": "v1", "updated": "2018-04-23T13:31:51.000Z" } ], "analyses": { "subjects": [ "37C15", "37C70", "37E30" ], "keywords": [ "surface diffeomorphisms", "study conjugacy invariants", "homoclinic cubic tangencies", "two-sided case", "lowest order" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable" } } }