{ "id": "0809.0441", "version": "v4", "published": "2008-09-02T14:17:19.000Z", "updated": "2010-04-28T01:47:50.000Z", "title": "Resurgent Analysis of the Witten Laplacian in One Dimension", "authors": [ "Alexander Getmanenko" ], "comment": "color figures; typos corrected, minor changes of notation made", "categories": [ "math-ph", "math.MP" ], "abstract": "The Witten Laplacian corresponding to a Morse function on the circle is studied using methods of complex WKB and resurgent analysis. It is shown that under certain assumptions the low-lying eigenvalues of the Witten Laplacian are resurgent.", "revisions": [ { "version": "v4", "updated": "2010-04-28T01:47:50.000Z" } ], "analyses": { "keywords": [ "resurgent analysis", "complex wkb", "morse function", "witten laplacian corresponding" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0809.0441G" } } }