A Vertex Formalism for Local Ruled Surfaces
arXiv:hep-th/0505192 · doi:10.1007/s00220-006-1533-8
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.
24 pages, 12 figures; v2: minor changes; v3: explanations added, results unchanged