Communications in Mathematical Physics

, Volume 265, Issue 1, pp 201–226 | Cite as

A Vertex Formalism for Local Ruled Surfaces

  • Duiliu-Emanuel Diaconescu
  • Bogdan Florea
  • Natalia Saulina


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Duiliu-Emanuel Diaconescu
    • 1
  • Bogdan Florea
    • 1
  • Natalia Saulina
    • 2
  1. 1.Department of Physics and AstronomyRutgers UniversityPiscatawayUSA
  2. 2.Jefferson Physical LaboratoryHarvard UniversityCambridgeUSA

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