Mathematical Research Letters
Volume 11 (2004)
Proof and Interpretation of A String Duality
Pages: 213 – 229
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.