A presentation for the Chow ring of M_0,2(P¹,2)

2005/04/28 by Jonathan A. Cox, Cox, Jonathan A.
Mathematics · #14C15 (Primary) 14D22 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C15 #msc:14D22

paper · pdf · doi:10.48550/arxiv.math/0504575

29 pages, 1 reference modified and 1 added, geometric explanation for linear relation noted in Section 4.3

arxiv created 2005/05/10 · arxiv updated 2009/12/01

Abstract

We give a presentation for the Chow ring of the moduli space of degree two stable maps from two-pointed rational curves to P¹. 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 P¹. 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.

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