English

A Vertex Formalism for Local Ruled Surfaces

High Energy Physics - Theory 2009-11-11 v3 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.hep-th/0505192,
  title  = {A Vertex Formalism for Local Ruled Surfaces},
  author = {Duiliu-Emanuel Diaconescu and Bogdan Florea and Natalia Saulina},
  journal= {arXiv preprint arXiv:hep-th/0505192},
  year   = {2009}
}

Comments

24 pages, 12 figures; v2: minor changes; v3: explanations added, results unchanged

R2 v1 2026-07-22T15:30:08.987Z