2003/07/31 by Artur Elezi
Mathematics · #math.AG #msc:14N35 #msc:14C17
published as Adv. Theor. Math. Phys. 7 (2004) 1103-1116 · This is the version that has been published
arxiv created 2005/01/26 · arxiv updated 2009/12/01
Let Y be the zero loci of a regular section of a convex vector bundle E over X. We provide a new proof of a conjecture of Cox, Katz and Lee for the virtual class of the genus zero moduli of stable maps to Y. This in turn yields the expected relationship between Gromov-Witten theories of Y and X which together with Mirror Theorems allows for the calculation of enumerative invariants of Y inside of X.