Reduced Genus-One Gromov-Witten Invariants
نویسنده
چکیده
In a previous paper we described a natural closed subset M 0 1,k(X,A; J) of the moduli space M1,k(X,A; J) of stable genus-one J-holomorphic maps into a symplectic manifold X . In this paper we generalize the definition of the main component to moduli spaces of perturbed, in a restricted way, J-holomorphic maps. This generalization implies that M 0 1,k(X,A; J), just like M1,k(X,A; J), carries a virtual fundamental class and can be used to define symplectic invariants. These truly genus-one invariants constitute part of the standard genus-one GromovWitten invariants, which arise from the entire moduli space M1,k(X,A; J). The new invariants appear to be better behaved with respect to embeddings and can be used to compute the genus-one GW-invariants of complete intersections, as shown in a separate paper.
منابع مشابه
Standard vs. Reduced Genus-One Gromov-Witten Invariants
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