{ "id": "2004.06227", "version": "v1", "published": "2020-04-13T22:35:53.000Z", "updated": "2020-04-13T22:35:53.000Z", "title": "Monopoles And Landau-Ginzburg Models I", "authors": [ "Donghao Wang" ], "comment": "54 pages", "categories": [ "math.GT", "math.DG" ], "abstract": "The end point of this series of papers is to construct the monopole Floer homology for 3-manifolds with torus boundary. In the first paper, we explain the idea from the standpoint of gauged Landau-Ginzburg models and address a few model problems related to the compactness of moduli spaces, using a Bochner-type formula associated to the gauged Witten equations.", "revisions": [ { "version": "v1", "updated": "2020-04-13T22:35:53.000Z" } ], "analyses": { "subjects": [ "57R58", "57M27", "53D40" ], "keywords": [ "monopole floer homology", "torus boundary", "first paper", "end point", "gauged landau-ginzburg models" ], "note": { "typesetting": "TeX", "pages": 54, "language": "en", "license": "arXiv", "status": "editable" } } }