{ "id": "math/0504575", "version": "v2", "published": "2005-04-28T15:10:55.000Z", "updated": "2005-05-10T20:53:07.000Z", "title": "A presentation for the Chow ring of \\bar{M}_{0,2}(P^1,2)", "authors": [ "Jonathan A. Cox" ], "comment": "29 pages, 1 reference modified and 1 added, geometric explanation for linear relation noted in Section 4.3", "categories": [ "math.AG" ], "abstract": "We give a presentation for the Chow ring of the moduli space of degree two stable maps from two-pointed rational curves to P^1. Also, integrals of of all degree four monomials in the hyperplane pullbacks and boundary divisors of this ring are computed using equivariant intersection theory. Finally, the presentation is used to give a new computation of the (previously known) values of the genus zero, degree two, two-pointed gravitational correlators of P^1. This article is a sequel to math.AG/0501322, although the only information truly needed from that article is the Poincare polynomial of the moduli space under consideration.", "revisions": [ { "version": "v2", "updated": "2005-05-10T20:53:07.000Z" } ], "analyses": { "subjects": [ "14C15", "14D22" ], "keywords": [ "chow ring", "presentation", "moduli space", "equivariant intersection theory", "two-pointed rational curves" ], "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......4575C" } } }