# Questions tagged [pseudo-holomorphic-curves]

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20 questions
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As the title suggests, I want to understand the strip breaking phenomenon that happens when I Gromov-compactify the moduli space of pseudoholomorphic curves from the holomorphic strip $\Bbb R \times [... 1answer 160 views ### Floer equation and Cauchy Riemann equation Consider a symplectic manifold$(M,\omega)$with the property that$\pi_2(M) = 0$. Given a time dependent hamiltonian$H_t$on$M$, and a$\omega$-compatible almost complex structure J on M, we may ... 0answers 66 views ### Pairs of J-holomorphic curves Let$(M, \omega)$be a symplectic 4-manifold and let$A$and$B$be symplectic submanifolds on M such that$A \cap B = p \in M$.Under what conditions can I find a$\omega$-compatible almost complex ... 1answer 193 views ### Intuition about bubbling off a ghost bubble I'm trying to improve my intuition about the bubbling phenomenon for$J$-holomorphic curves$\Sigma \to (M,\omega)$, where$\Sigma$is a compact Riemann surface with possibly boundary. I assume that ... 0answers 106 views ### Diffeomorphism of$ \mathbb{C}P^2 \# ~\overline{\mathbb{C}P^2}$I am currently reading Dusa McDuff's paper "Blow ups and symplectic embedding in dimension 4" and had a few questions regarding the paper. In the paper McDuff uses the following notation.$X = \...
Suppose $(X,\omega)$ is a compact symplectic manifold and $J$ is an $\omega$-compatible almost complex structure on $X$ (the symplectic structure seems to be irrelevant for this question actually). ...