On a deformed topological vertex

Mathematics – Algebraic Geometry

Scientific paper

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33 pages

Scientific paper

We introduce a deformed topological vertex and use it to define deformations of the topological string partition functions of some local Calabi-Yau geometries. We also work out some examples for which such deformations satisfy a deformed Gopakumar-Vafa integrality and can be identified with the equivariant indices of some naturally defined bundles on the framed moduli spaces.

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