# sg.symplectic geometry – Computing Gromov Witten invariant of 4 strains in CP^3 Answer

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## sg.symplectic geometry – Computing Gromov Witten invariant of 4 strains in CP^3

I’m attempting to grasp what the variety of genus 0 curves by way of 4 strains in $$mathbb{C}P^3$$ is i.e $$Gr_{0,4}^{mathbb{C}P^3, L}(PD(L),PD(L),PD(L),PD(L))$$ the place $$L$$ is the category of a line $$mathbb{C}P^1 subset mathbb{C}P^3$$.

I can behold that $$sum_{i=1}^{1} deg(PD(L)) = 16$$ and dim $$mathcal{M}_{0,4}(mathbb{C}P^3,L) = 16$$. Hence the Gromov Witten invariants will not be trivially zero.

However, I’m struggling to really compute this quantity. Could somebody ameliorate me with find out how to proceed in computing this?

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