Abstract

Let B be a line or a smooth conic in ℙ2. We give a recursive formula for certain linear combinations of the genus 0 relative Gromov-Witten invariants of (ℙ2,B). After change of sign, this is equivalent to the WDVV equation for the equivariant local Gromov-Witten invariants of ℙ2 in ᵊA(−B). We show that these invariants coincide up to sign.

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