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 52 for “"gluing"”.
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Einstein constraints gluing and toroidal cusps
… Mazzeo, and Pollack construct a connected sum gluing for constant mean curvature initial data sets to the vacuum Einstein Field Equations, obtaining new initial data on the joined manifold. The new data set is arbitrarily close to the original data set outside of the gluing region, controlled …
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Gluing Z₂-Harmonic Spinors on 3-Manifolds
… thesis develops the analytic foundations of a gluing result for Z₂-harmonic spinors on 3-manifolds. Z₂-harmonic spinors are a singular version of classical harmonic spinors and naturally arise as limits of sequences of solutions to generalized SeibergWitten equations. The gluing problem studied …
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Gluing silting objects along recollements of well generated triangulated categories
… categories. This procedure is compatible with gluing co-t-structures and it generalizes a result by Liu, Vitória and Yang. We provide conditions for our procedure to restrict to tilting objects and to silting and tilting modules. As applications, we retrieve the classification of silting …
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Gluing constructions for Higgs bundles over a complex connected sum
… have $3\cdot {{2}^{2g}}+2g-4$ many components. A gluing construction between parabolic Higgs bundles over a connected sum of Riemann surfaces provides model Higgs bundles in a subfamily of particular significance. This construction is formulated in terms of solutions to the Hitchin equations, …
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Deformations and gluing of asymptotically cylindrical manifolds with exceptional holonomy
… tori. Later Kovalev found different examples by gluing pairs of exponentially asymptotically cylindrical (EAC) G_2-manifolds (not necessarily with holonomy exactly G_2) whose cylinders match. The result of this gluing construction can be regarded as a generalised connected sum of the EAC …
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Gluing and Creasing Paper along Curves: Computational Methods for Analysis and Design
… using curvature-based analysis, we consider the gluing of two patches with specified rulings and the pairwise joining of three patches with partial ruling information. We highlight a simplified computational approach for the case when the joined two patches are cylinders or cones that is also …
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Moduli spaces and cw structures arising from morse theory
… stratication of M by its unstable manifolds. The gluing of broken flow lines can also be constructed.</p> <p>We prove that, under certain assumptions, these moduli spaces can be compactified and the compactified spaces are smooth manifolds with corners. Moreover, these compactified manifolds …
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Asymptotically cylindrical Calabi–Yau and special Lagrangian geometry
… Calabi–Yau manifolds, and that if we do so the “gluing map” of moduli spaces is essentially a local diffeomorphism. In particular, it is an open mapping. In the case of asymptotically cylindrical special Lagrangian submanifolds, we no longer explicitly restrict to dimension three; we assume only …
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A Problem From Hamiltonian Mechanics With Time -Periodic Coefficients, Small Noise, and Degeneracy
… generator, including the analysis of the gluing conditions at the point where the strata meet. These gluing conditions, resulting from the effects of the hierarchy of the time scales, are similar to the conditions on the domain of skew Brownian motion, and are related to the description of …
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Mean curvature flow self-shrinkers with genus and asymptotically conical ends
… conical infinite ends, via minimal surface gluing. (3) Construction of closed embedded self-shrinkers y2 C R3 with genus g, via minimal surface gluing. In the work there are two central geometric and analytic themes that cut across (1)-(3): The notion of asymptotically conical infinite ends …
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Forbidden Substructures in Graphs and Trigraphs, and Related Coloring Problems
… several operations (namely, "substitution," "gluing along a clique," and "gluing along a bounded number of vertices"), and we show that the closure of a χ-bounded class under any one of them, as well as under certain combinations of these three operations (in particular, the combination of …
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Categorifications of Cluster Varieties
… of simpler cluster varieties, we introduce a gluing operation for dimer quivers on surfaces. We use this operation to recover the boundary algebra obtained from a gluing when certain consistency conditions are met. As an application we determine the boundary algebra of a class of homogeneous …
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Études in Ambitwistor Strings - Exploring new models, higher loops and curved backgrounds
… which allows the computation of amplitudes by gluing together correlators with fewer points or of lower genus. We conjecture it to be the infinite tension limit of the standard string propagator. Due to the finiteness of the ambitwistor string spectrum, the gluing operator turns out to be a …
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Constant Mean Curvature 1/2 Surfaces in H2 × R
… neck size tends to zero. We discuss the analytic gluing construction that this fact suggests, which would create a multitude of cmc 1/2 surfaces with positive genus. The main result of the thesis concerns a key step in such an analytic gluing construction. We construct families of cmc 1/2 annuli …
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The Dialectica Models of Type Theory
… out of old. We refer to the main techniques as gluing and idempotent splitting. For each we give general conditions under which type constructors exist in the resulting model. These techniques are used to construct some examples of Dialectica models of type theory. The name is chosen by analogy …
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Two mod-p Johnson filtrations
… may be given as a Heegaard splitting with gluing map coming from certain members of our mod-p Johnson filtrations.
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Bordered Heegaard Floer Homology, Satellites, and Decategorification
… properties of this invariant corresponding to gluing, as well as its connections to sutured Floer homology. As one application, we show that the pairing theorem for bordered Floer homology categorifies the classical Alexander polynomial formula for satellites.
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Contributions to sutured monopole and sutured instanton Floer homology theories
… the boundary called the suture. We construct the gluing and cobordism maps in these theories, construct gradings associated to properly embedded surfaces inside the balanced sutured manifolds, and use these tools to further construct minus versions of knot Floer homologies in monopole and …
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Derived algebraic geometry over En̳-rings
… and Lurie. The class of spaces obtained by gluing En-rings form a geometric counterpart to En-categories, which are higher topological variants of braided monoidal categories. These spaces further provide a geometric language for the deformation theory of general E, structures. A version of …
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