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Emergent Geometry of KP Hierarchy. II

We elaborate on a construction of quantum LG superpotential associated to a tau-function of the KP hierarchy in the case that resulting quantum spectral curve lies in the quantum two-torus. This construction is applied to Hurwitz numbers, one-legged topological vertex and resolved conifold with external D-brane to give a natural explanation of some earlier work on the relevant quantum curves.

preprint2015arXivOpen access
Jian Zhou
math-phmath.MP
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Jian Zhou

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