CALCULATION OF GROMOV-WITTEN INVARIANTS FOR CP3, CP4AND Gr(2, 4)

Abstract

Using the associativity relations of the topological sigma models with target spaces, CP3, CP4 and Gr (2, 4), we derive recursion relations of their correlation and evaluate them up to a certain order in the expansion over the instantons. The expansion coefficients are regarded as the number of rational curves in CP3, CP4 and Gr (2, 4) which intersect various types of submanifolds corresponding to the choice of BRST-invariant operators in the correlation functions.