, Volume 257, Issue 1, pp 119-149
Date: 22 Mar 2005

Localization and Gluing of Topological Amplitudes

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We develop a gluing algorithm for Gromov-Witten invariants of toric Calabi-Yau threefolds based on localization and gluing graphs. The main building block of this algorithm is a generating function of cubic Hodge integrals of special form. We conjecture a precise relation between this generating function and the topological vertex at fractional framing.

Communicated by M.R. Douglas