Operads and moduli spaces of genus $0$ Riemann surfaces

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We study a pair of dual operads which arise in the study of moduli spaces of pointed genus 0 curves (this duality is similar to that between commutative and Lie algebras). These operads are both quadratic, and even Koszul, and arise in the theory of quantum cohomology.
26 pages, latex2e with amslatex 1.2beta (available from e-math.ams.com by anonymous ftp), no figures

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