Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 6 of 6 for “"Quadratic differentials"”.
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Quadratic differentials and Loewner evolutions
… In this thesis, we develop a method using quadratic differentials to study paths on 2-dimensional lattices. We will then use this method to derive properties of the LDE. In particular, we will be able to derive formulae for the driving function of the LDE for paths on certain lattices. We …
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Rigidity of length functions over strata of flat metrics
… we consider strata of flat metrics coming from quadratic differentials (semi-translation structures) on surfaces of finite type. We provide a necessary and sufficient condition for a set of simple closed curves to be spectrally rigid over a stratum with enough complexity, extending a result of …
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Instanton correction, wall crossing and mirror symmetry of Hitchin's moduli spaces
… coordinates associated with foliations of quadratic differentials on a Riemann surface. A wall crossing formula of Kontsevich and Soibelman arises both as a crucial consistency condition and an effective computational tool. On the other hand Gross and Siebert have succeeded in determining …
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Hyperbolic String Field Theory
… that it can be used to characterize Strebel quadratic differentials on Riemann surfaces. These differentials encode the geometry of polyhedral vertices of classical closed string field theory. The implication is that they can be embedded into the hyperbolic paradigm. The validity of our …
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Floer theory and spectral networks
… map and Floer theory. Given a complete GMN quadratic differential $\phi$ defined on a closed Riemann surface $C$, let $\tilde{C}$ be the complement of the poles of $\phi$. In the case where the spectral curve $\Sigma_{\phi}$ is exact with respect to the canonical Liouville form on …