Embedded curves and Gromov-Witten invariants of three-folds

Details Embedded curves and Gromov-Witten invariants of three-folds Embedded curves and Gromov-Witten invariants of three-folds

2004-10-15

arxiv.org/abs/math/0410352v2

Mathematics

Symplectic Geometry

Scientific paper

Associated with a prime homology class $\beta \in P_2(X,\Z)$ (i.e. $\beta=p\alpha$ and $\alpha \in H_2(X,\Z)$ imply $p=1$ or $p$ is an odd prime) on a symplectic three-manifold with vanishing first Chern class, we count the embedded perturbed pseudo-holomorphic curves in $X$ of a fixed genus $g$ to obtain certain integer valued invariants analogous to Gromov-Witten invariants of $X$.

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