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sg.symplectic geometry – Moduli house of ceaseless maps Answer

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sg.symplectic geometry – Moduli house of ceaseless maps

In McDuff-Salamon’s bespeak “J holomorphic curves and Symplectic topology” they outline the house $M^*_{0,okay}(A,J)$ to breathe the moduli house of unostentatious $J$-holomorphic curves of genus 0 with $okay$ conspicuous factors within the homology class $A$.

My query is how does one construe the definition of the moduli house $M^*_{0,okay}(0,J)$.

1)I grasp that because the homology class is 0, these are all ceaseless maps however what does being a unostentatious map denote on this context?

  1. They too point out that $M^*_{0,okay}(0,J)$ is vacant for $okay < 3$. I presuppose this has one thing to do with the 3-transitivity of the $PSL(2,mathbb{C})$ motion on $S^2$ however may somebody elucidate why that is the illustration?

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