On the quantum cohomology of the plane, old and new
Abstract
We describe a method for counting maps of curves of given genus (and variable moduli) to P2, essentially by splitting the P2 in two; then specialising to the case of genus 0 we show that the method of quantum cohomology may be viewed as the 'mirror' of the former method where one splits the P1 rather than the P2, and we indicate a proof of the associativity of quantum multiplication based on this idea.
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