%0 Journal Article
%T Reduced genus-two Gromov-Witten Invariants for complex manifolds
%A Wei Wang
%J Mathematics
%D 2008
%I arXiv
%X In this article, we construct the reduced genus-two Gromov-Witten invariants for certain almost K\"{a}hler manifold $(X, \omega, J)$ such that $J$ is integrable and satisfies some regularity conditions. In particular, the standard projective space $(\P^n, \omega_0, J_0)$ of dimension $n \le 7$ satisfies these conditions. This invariant counts the number of simple genus-two $J$-holomorphic curves that satisfy appropriate number of constraints.
%U http://arxiv.org/abs/0812.2542v2