177 citations · 548 across the 31 of their papers we have counts for
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math.AG2011★ 32 cited
Integrable hierarchies and the mirror model of local CP1
Andrea Brini, Guido Carlet, Paolo Rossi
We study structural aspects of the Ablowitz-Ladik (AL) hierarchy in the light of its realization as a two-component reduction of the two-dimensional Toda hierarchy, and establish n…
hep-th2011★ 177 cited
Torus knots and mirror symmetry
Andrea Brini, Bertrand Eynard, Marcos Marino
We propose a spectral curve describing torus knots and links in the B-model. In particular, the application of the topological recursion to this curve generates all their colored H…
hep-th2011★ 31 cited
Open topological strings and integrable hierarchies: Remodeling the A-model
Andrea Brini
We set up, purely in A-model terms, a novel formalism for the global solution of the open and closed topological A-model on toric Calabi-Yau threefolds. The starting point is to bu…