{ "id": "2208.09359", "version": "v1", "published": "2022-08-19T14:12:51.000Z", "updated": "2022-08-19T14:12:51.000Z", "title": "Singular Quiver Varieties over Extended Dynkin Quivers", "authors": [ "Gard Olav Helle" ], "comment": "24 pages", "categories": [ "math.RT", "math.DG" ], "abstract": "We classify the singularities in the unframed Nakajima quiver varieties associated with extended Dynkin quivers and the corresponding minimal imaginary root with a small restriction on the parameter and use this to construct a number of hyper-K\\\"{a}hler cobordisms between binary polyhedral spaces.", "revisions": [ { "version": "v1", "updated": "2022-08-19T14:12:51.000Z" } ], "analyses": { "subjects": [ "53C26", "16G20" ], "keywords": [ "extended dynkin quivers", "singular quiver varieties", "corresponding minimal imaginary root", "unframed nakajima quiver varieties", "binary polyhedral spaces" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable" } } }