Localization and Gluing of Topological Amplitudes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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35 pages, 6 figures

Scientific paper

10.1007/s00220-005-1323-8

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.

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