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 20 of 33 for “"Riemann surfaces."”.
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Higher Rank Bergman Kernels on Compact Riemann Surfaces
Let X be a compact Riemann surface equipped with a real-analytic Kahler form omega and let E be a holomorphic vector bundle over X equipped with a real-analytic Hermitian metric h. Suppose that the curvature of h is Griffiths-positive. We prove the existence of a global asymptotic expansion in …
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Sasakian geometry on lens space bundles over Riemann surfaces
We compute the cohomology of the join of a 3 manifold with the sphere and we see the dependence of this cohomology on one of the parameters.
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Bounds on the genus of Riemann surfaces under certain group actions
… group G is the smallest genus of those compact Riemann surfaces on which G acts faithfully, possibly reversing orientation. A natural question to ask is whether there exists a finite group G with σ (G) = g for any given non-negative integer g. It is known that the values of the function σ cover …
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Visualizing Riemann Surfaces, Teichmuller Spaces, and Transformation Groups on Hyperbolic Manifolds Using Real Time Interactive Computer Animator (Rtica) Graphics
The production and presentation of sc RTICA are described as are the techniques for generating pic and Mathematica illustrations to be embedded into $\rm T\sb{E}X$ documents.
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On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures
… super Mumford form on the moduli spaces of super Riemann surfaces with Ramond and Neveu–Schwarz punctures. In the Ramond case we take the number of punctures to be large compared to the genus. We consider for the case of Neveu-Schwarz punctures the super Mumford form over the component of the …
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Large genus bounds for the distribution of triangulated surfaces in moduli space
Triangulated surfaces are compact Riemann surfaces equipped with a conformal triangulation by equilateral triangles. In 2004, Brooks and Makover asked how triangulated surfaces are distributed in the moduli space of Riemann surfaces as the genus tends to infinity. Mirzakhani raised this question in …
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Quadratic differentials and Loewner evolutions
… as well as a version of the LDE for paths . on Riemann surfaces. We can then use this to define SLE on Riemann surfaces and derive some of its properties.
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Bordered Heegaard Floer Homology and four-manifolds with corners
… generalizes this invariant to parametrized Riemann surfaces and to cobordisms between them, yielding a 2+1 TQFT. We discuss an approach to synthesizing these two theories to form a 2+1+1 TQFT, by defining Heegaard Floer invariants for Lefschetz fibrations with corners.
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Hyperbolic String Field Theory
… data: the local coordinates around punctures on Riemann surfaces as a function of complex structure and the vertex regions in the relevant moduli spaces over which the moduli integration is performed. This procedure exploits the relation between hyperbolic geometry and the semi-classical …
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Whitham Equations, Dispersionless KP Theory and Seiberg-Witten Variables
… and formulas involving branch points of some Riemann Surfaces associated with the KdV equation. Briefly, a Riemann surface gives rise to integrable systems via the BA function. The averaging process gives modulation parameters Tn, ai and Whitham equations which describe the deformation of …
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Local Conjugations of Groups and Applications to Number Fields
… G as groups of deck isometrices of coverings of Riemann surfaces and showed that when H, H' are locally conjugate but not conjugate in G then the corresponding Riemann surfaces are isospectral but non-isometric. And more recently, locally conjugate subgroups of a finite group G have been used to …
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Combinatorial Knot Floer Homology
… holomorphic disks in symmetric products of Riemann surfaces, which made them difficult to compute. In 2006, in a paper titled "A combinatorial Description of Knot Floer Homology", the authors Ciprian Manolescu, Peter Ozsváth, and Sucharit Sarkar discovered an algorithm for purely …
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Gluing constructions for Higgs bundles over a complex connected sum
For a compact Riemann surface of genus $g\ge 2$, the components of the moduli space of $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-Higgs bundles, or equivalently the $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-character variety, are partially labeled by an integer $d$ known as the Toledo invariant. The …
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Spectral Fukaya Categories for Liouville Manifolds
… Floer homotopy types from families of punctured Riemann surfaces. As a byproduct, we can generalize many familiar algebraic constructions in traditional Floer homology over the integers to Floer homotopy theory: among them symplectic cohomology, wrapped Floer cohomology, and the Donaldson-Fukaya …
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Orbifold points on Teichmüller curves and Jacobians with complex multiplication
… immersion into the moduli space of genus two Riemann surfaces. The Weierstrass curves are the main examples of Teichmüller curves in genus two. The primary goal of this thesis is to determine the number and type of orbifold points on each component of WD. Our enumeration of the orbifold …
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Combinatorics Of The Hermitian One-Matrix Model
… interpretation involving graphs embedded in Riemann surfaces. Generating functions for these graphs in the case of an even potential have been studied by many authors. The case of a cubic potential has also been studied. Using string equations, we construct "valence independent" formulas for …
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Operads and moduli spaces
… arising in the study of moduli spaces of surfaces as well as applications to the study of homotopy algebras and new constructions of 'quantum invariants' of manifolds inspired by ideas originating from physics. We consider the extension of classical 2-dimensional topological quantum field …
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The Beurling-Ahlfors extension and Conformal welding
… when we consider the conditions under which two Riemann surfaces can be joined together. In the second chapter we investigate the properties of quasisymmetric and quasiconformal functions and derive various inequalities for them. Later in the chapter we define the so-called Beurlin-Ahlfors …
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