# 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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