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Register a new userOn finiteness and rigidity of J-holomorphic curves in symplectic three-folds
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Authors
Eaman Eftekhary
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Given a symplectic three-fold $(M,omega)$ we show that for a generic almost complex structure $J$ which is compatible with $omega$, there are finitely many $J$-holomorphic curves in $M$ of any genus $ggeq 0$ representing a homology class $beta$ in $H_2(M,Z)$ with $c_1(M).beta=0$, provided that the divisibility of $beta$ is at most 4 (i.e. if $beta=nalpha$ with $alphain H_2(M,Z)$ and $nin Z$ then $nleq 4$). Moreover, each such curve is embedded and 4-rigid.
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This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.
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