{ "id": "1601.07816", "version": "v1", "published": "2016-01-28T16:23:38.000Z", "updated": "2016-01-28T16:23:38.000Z", "title": "A note on twisted Dirac operators on closed surfaces", "authors": [ "Volker Branding" ], "categories": [ "math.DG", "math-ph", "math.MP", "math.SP" ], "abstract": "We derive an inequality that relates nodal set and eigenvalues of a class of twisted Dirac operators on closed surfaces. Moreover, we apply this technique to the twisted Dirac operator appearing in the context of Dirac-harmonic maps.", "revisions": [ { "version": "v1", "updated": "2016-01-28T16:23:38.000Z" } ], "analyses": { "subjects": [ "53C27", "58J05", "58C40" ], "keywords": [ "closed surfaces", "relates nodal set", "dirac-harmonic maps", "inequality", "twisted dirac operator appearing" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }