Localization and Gluing of Topological Amplitudes

Duiliu-Emanuel Diaconescu, Bogdan Florea

Published 2003-09-15Version 1

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.