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The Topological Vertex
We construct a cubic field theory which provides all genus amplitudes of the topological A-model for all non-compact toric Calabi-Yau threefolds. The topology of a given Feynman diagram encodes the…
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Mirror symmetry, D-branes and counting holomorphic discs
We consider a class of special Lagrangian subspaces of Calabi-Yau manifolds and identify their mirrors, using the recent derivation of mirror symmetry, as certain holomorphic varieties of the mirror…
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Topological Strings and Integrable Hierarchies
We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using -algebra symmetries which encode the symmetries of holomorphic…
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Gauge invariant and gauge fixed D-brane actions
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Matrix model as a mirror of Chern-Simons theory
Using mirror symmetry, we show that Chern-Simons theory on certain manifolds such as lens spaces reduces to a novel class of hermitean matrix models, where the measure is that of unitary matrix…
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Disk Instantons, Mirror Symmetry and the Duality Web
We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of D-branes wrapped over Lagrangian cycles of non-compact Calabi-Yau…
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Topological Strings and (Almost) Modular Forms
The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Γ, generated by monodromies of the periods of X. This acts on the topological string wave function in a natural…
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D-brane actions with local kappa symmetry☆
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Elliptic stable envelopes
We construct stable envelopes in equivariant elliptic cohomology of Nakajima quiver varieties. In particular, this gives an elliptic generalization of the results of Maulik and Okounkov [Astérisque…
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Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings
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