{ "id": "math/0411220", "version": "v3", "published": "2004-11-10T20:36:51.000Z", "updated": "2005-03-19T11:29:05.000Z", "title": "Stability Manifold of P^1", "authors": [ "So Okada" ], "comment": "Lots of minor collections made and explanations added", "journal": "J. Algebraic Geom. 15 (2006), no. 3, 487--505.", "categories": [ "math.AG", "math.CT" ], "abstract": "T. Bridgeland defined the notion of a stability manifold for a triangulated category, motivated by Douglas's work on \\Pi-stability for D-branes. We show that the stability manifold of the bounded derived category of the coherent sheaves on P^1 is C^2. This is the first complete picture of a stability manifold for a non-Calabi-Yau manifold.", "revisions": [ { "version": "v3", "updated": "2005-03-19T11:29:05.000Z" } ], "analyses": { "keywords": [ "stability manifold", "first complete picture", "non-calabi-yau manifold", "coherent sheaves", "douglass work" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....11220O" } } }