{ "id": "1205.3437", "version": "v1", "published": "2012-05-15T16:41:35.000Z", "updated": "2012-05-15T16:41:35.000Z", "title": "Equivariant Morse inequalities and applications", "authors": [ "Wen Lu" ], "comment": "19 pages", "categories": [ "math.DG", "math.AP", "math.AT" ], "abstract": "In this paper, we prove equivariant Morse inequalities via Bismut-Lebeau's analytic localization techniques. As an application, we obtain Morse inequalities on compact manifold with nonempty boundary by applying equivariant Morse inequalities to the doubling manifold.", "revisions": [ { "version": "v1", "updated": "2012-05-15T16:41:35.000Z" } ], "analyses": { "subjects": [ "53C21", "58E40" ], "keywords": [ "application", "bismut-lebeaus analytic localization techniques", "applying equivariant morse inequalities", "compact manifold", "nonempty boundary" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.3437L" } } }