{ "id": "1509.06617", "version": "v1", "published": "2015-09-22T14:31:28.000Z", "updated": "2015-09-22T14:31:28.000Z", "title": "Abelian points of branched covers", "authors": [ "Martina Aaltonen", "Pekka Pankka" ], "categories": [ "math.GT" ], "abstract": "We show that the local dimension of the branch set of a branched cover $X\\to M$, from a codimension $2$ manifold completion $X$ to a $n$-manifold $M$, is $(n-2)$ at points of abelian local monodromy.", "revisions": [ { "version": "v1", "updated": "2015-09-22T14:31:28.000Z" } ], "analyses": { "subjects": [ "57M12", "57M30", "30C65" ], "keywords": [ "branched cover", "abelian points", "abelian local monodromy", "branch set" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }