2000/04/30 by Artur Elezi
Mathematics · #math.AG #msc:14N35 #msc:14L30
published as International Journal of Mathematics and Mathematical Sciences (2003), no. 3, 159-197 · 35 pages, LaTeX2e. Several minor errors have been corrected
arxiv created 2005/01/26 · arxiv updated 2009/11/30
Let X⊂ Y be smooth, projective manifolds. Assume that X is the zero locus of a generic section of a direct sum V+ of positive line bundles on \PPn. Furthermore assume that the normal bundle NX/Y is a direct sum V- of negative line bundles. We show that a V:=V+⊕ V--twisted Gromov-Witten theory of \PPn restricts to the Gromov-Witten theory of X inherited form Y. The later one can be computed via a Mirror Theorem which we prove in this paper.