{ "id": "2005.04827", "version": "v1", "published": "2020-05-11T01:48:03.000Z", "updated": "2020-05-11T01:48:03.000Z", "title": "Equivalence of Contact Gluing Maps in Sutured Floer Homology", "authors": [ "Ryan Leigon", "Federico Salmoiraghi" ], "comment": "39 pages, 31 figures. Comments welcome", "categories": [ "math.GT" ], "abstract": "We show that the contact gluing map of Honda, Kazez, and Matic has a natural algebraic description. In particular, we establish a conjecture of Zarev, that his gluing map on sutured Floer homology is equivalent to the contact gluing map.", "revisions": [ { "version": "v1", "updated": "2020-05-11T01:48:03.000Z" } ], "analyses": { "subjects": [ "57M27", "57R58" ], "keywords": [ "contact gluing map", "sutured floer homology", "equivalence", "natural algebraic description", "equivalent" ], "note": { "typesetting": "TeX", "pages": 39, "language": "en", "license": "arXiv", "status": "editable" } } }