Proof and Interpretation of A String Duality

We announce the proof of a conjecture of Iqbal on the relationship between multiple covering formula in Gromov-Witten theory with Wess-Zumino-Witten theory. We interpret it in terms of localizations on moduli spaces of stable maps to the projective line, using the recently proved Mariño-Vafa formula for Hodge integrals.

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Published 1 January 2004