{ "id": "2205.05879", "version": "v1", "published": "2022-05-12T05:16:12.000Z", "updated": "2022-05-12T05:16:12.000Z", "title": "Stable equivalence of handlebody decompositions whose partitions are multibranched surfaces", "authors": [ "Masaki Ogawa" ], "comment": "Comments are welcome!", "categories": [ "math.GT" ], "abstract": "In this paper, we consider decompositions of closed orientable 3-manifolds with more than 3 handlebodies, where the union of intersections of handlebodies is a multibranched surface. We define stabilization operations for such decompositions and show the stable equivalence.", "revisions": [ { "version": "v1", "updated": "2022-05-12T05:16:12.000Z" } ], "analyses": { "subjects": [ "57N35", "57Q35" ], "keywords": [ "stable equivalence", "multibranched surface", "handlebody decompositions", "partitions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }