A Vertex Formalism for Local Ruled Surfaces
Duiliu-Emanuel Diaconescu, Bogdan Florea, Natalia Saulina
Abstract
We develop a vertex formalism for topological string amplitudes on ruled surfaces with an arbitrary number of reducible fibers embedded in a Calabi-Yau threefold. Our construction is based on large N duality and localization with respect to a degenerate torus action. We also discuss potential generalizations of our formalism to a broader class of Calabi-Yau threefolds using the same underlying principles.
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