{ "id": "2002.06981", "version": "v1", "published": "2020-02-17T14:38:56.000Z", "updated": "2020-02-17T14:38:56.000Z", "title": "Residue-Torsion of the Laplacian on Riemannian Manifolds", "authors": [ "Niccolò Salvatori", "Simon Scott" ], "comment": "15 pages", "categories": [ "math.AP", "math.AT", "math.DG" ], "abstract": "The Ray-Singer `analytic torsion' is the classical zeta-trace of a certain sum S of logarithm operators on the de Rham complex. In this note we examine `residue analytic torsion' defined as the residue-trace of S.", "revisions": [ { "version": "v1", "updated": "2020-02-17T14:38:56.000Z" } ], "analyses": { "subjects": [ "58J05", "58J22" ], "keywords": [ "riemannian manifolds", "residue-torsion", "residue analytic torsion", "logarithm operators", "rham complex" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }