{ "id": "1103.5132", "version": "v2", "published": "2011-03-26T13:41:07.000Z", "updated": "2014-08-04T23:26:34.000Z", "title": "Orbifold techniques in degeneration formulas", "authors": [ "Dan Abramovich", "Barbara Fantechi" ], "comment": "Some material which is now in arXiv:1406.2166 and in arXiv:1110.2976 was removed", "categories": [ "math.AG", "math.SG" ], "abstract": "We give an approach for relative and degenerate Gromov--Witten invariants, inspired by that of Jun Li but replacing predeformable maps by transversal maps to a twisted target. The main advantage is a significant simplification in the definition of the obstruction theory. We reprove in our language the degeneration formula, extending it to the orbifold case.", "revisions": [ { "version": "v2", "updated": "2014-08-04T23:26:34.000Z" } ], "analyses": { "subjects": [ "14N35", "14D22" ], "keywords": [ "degeneration formula", "orbifold techniques", "degenerate gromov-witten invariants", "orbifold case", "transversal maps" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 894410, "adsabs": "2011arXiv1103.5132A" } } }