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Embedded curves and Gromov-Witten invariants of three-folds

Eaman Eftekhary
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Abstract

Associated with a prime homology class $β\in P_2(X,\Z)$ (i.e. $β=pα$ and $α\in H_2(X,\Z)$ 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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Eaman Eftekhary. 2004-10-18. Embedded curves and Gromov-Witten invariants of three-folds. https://arxiv.org/abs/math/0410352

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