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Skip to Search Results- 3Topological Recursion
- 2Hurwitz Numbers
- 2Mathematical Physics
- 1Gromov-Witten Invariants
- 1Mirror Symmetry
- 1Quantum Curves
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Fall 2019
In the framework of topological recursion (TR), the quantum curve conjecture relates the initial spectral curve to a differential equation – the quantum curve – satisfied by the TR wave-function. Several admissibility conditions have been put forward to explain which input of spectral curve...
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Fall 2016
It has been proven in other sources that spectral curves, $(\Sigma,x,y)$, where $\Sigma$ is a compact Riemann surface, and meromophic functions $x$ and $y$ satisfy a polynomial equation (and subject to certain admissibility conditions), can be used with the topological recursion to construct the...
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Fall 2015
In this thesis, we present expositions of Gromov-Witten invariants, Hurwitz numbers, topological recursion and their connections. By remodeling theory, open Gromov-Witten invariants of C^3 and C^3/Za satisfy the topological recursion of Eynard-Orantin defined on framed mirror curve of toric...