{ "id": "1111.0874", "version": "v1", "published": "2011-11-03T15:18:51.000Z", "updated": "2011-11-03T15:18:51.000Z", "title": "Donaldson-Thomas invariants for complexes on abelian threefolds", "authors": [ "Martin G. Gulbrandsen" ], "comment": "16 pages", "doi": "10.1007/s00209-012-1002-3", "categories": [ "math.AG" ], "abstract": "We modify the standard perfect symmetric obstruction theory for moduli spaces of simple perfect complexes, to the situation of complexes on abelian threefolds with fixed determinant and Fourier-Mukai determinant. As outcome we attach nontrivial Donaldson-Thomas invariants to moduli spaces for complexes modulo twist and translation.", "revisions": [ { "version": "v1", "updated": "2011-11-03T15:18:51.000Z" } ], "analyses": { "subjects": [ "14N35", "14K05", "14D20" ], "keywords": [ "abelian threefolds", "standard perfect symmetric obstruction theory", "moduli spaces", "attach nontrivial donaldson-thomas invariants", "complexes modulo twist" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.0874G" } } }