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 38 for “"fibration"”.
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Numerical properties of pseudo-effective divisors
… behavior - the litaka dimension and the litaka fibration - are subtle and difficult to work with. In this thesis we will construct approximations to these objects that depend only on the numerical class of L. The main interest in such results arises from the Abundance Conjecture which predicts …
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Polynomials and models of type theory
… freely adding indexed sums and products to fibrations over the category, and a category of polynomials is obtained by adding sums to the opposite of the codomain fibration. A fibration with sums and products is essentially the structure defining a categorical model of dependent type theory. …
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Automorphisms of Graph Curves on K3 Surfaces
… to examine what restrictions a given elliptic fibration imposes on the possible finite order non-symplectic automorphisms of the $K3$ surface. We also examine the fixed loci of these automorphisms, and construct an explicit fibration to demonstrate the process.</p>
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Relative Hilbert scheme methods in pseudoholomorphic geometry
… and I. Smith aimed at using symplectic Lefschetz fibration techniques to obtain information about pseudoholomorphic curves in symplectic 4-manifolds. Donaldson and Smith introduced an invariant DS which counts holomorphic sections of a relative Hilbert scheme constructed from a symplectic …
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Multiplicative Global Springer Theory
The moduli of Higgs bundles and the Hitchin fibration are central to many thriving research areas, such as mirror symmetry, non-abelian Hodge theory and the geometric Langlands program. They are also useful for globalizing representation-theoretic phenomena such as Springer theory and the study of …
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Homological properties of determinantal arrangements
… the topology of these objects. We construct a fibration for the complement of free determinantal arrangements, and use this fibration to prove statements about their homotopy groups. Furthermore, we show that the Poincaré polynomial of the complement factors nicely.</p>
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Elliptic fibrations among toric hypersurface Calabi-Yau manifolds and mirror symmetry of fibrations
… the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau three folds by (1) constructing explicitly elliptically fibered Calabi-Yau threefolds with large Hodge numbers using Weierstrass model techniques motivated by F-theory, and comparing the Tate-tuned …
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Random Variable Spaces: Mathematical Properties and an Extension to Programming Computable Functions
… dissertation investigates the possibility of a fibration between the category of Measurable Spaces (Meas) and Random Variable Spaces. While such a fibration is not found, it offers an alternative fibration after particular alterations are made to Meas. Further, the work culminates in an …
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Floer cohomology in the mirror of the projective plane and a binodal cubic curve
… feature is the presence of a singular torus fibration on the mirror, of which the Lagrangians are sections. This gives rise to a distinguished basis of the Floer cohomology and the homogeneous coordinate ring parameterized by fractional integral points in the singular affine structure on the …
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Minimal Models and Riemannian Foliations
… it can be realized in rational homotopy by a fibration of finite CW complexes. As a consequence, based on results of Gottlieb and Chern-Hirzebruch-Serre, a signature product formula is obtained.
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Compact Homogeneous Leviflat CR-Manifolds
… CR-fiber bundle, the so-called CR-normalizer fibration, consisting of a projective base and a parallelizable fiber. In codimensions one and two we also give a classification.
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Bott periodicity for fibred cusp operators
… on a manifold X associated to a boundary fibration ... , the homotopy groups of the space ... of invertible smoothing perturbations of the identity are computed in terms of the K-theory of T*Y . It is shown that there is a periodicity, namely the odd and the even homotopy groups are …
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Orbispaces
… for orbispaces based a notion of stratified fibration and prove it's equivalence with other existing definitions. I study the notion of orbispace structures on a given stratified space. I then set up two parallel theories of stratified fibrations, one for topological spaces, and one for …
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Determinant, Wall Monodromy and Spherical Functor
… functor in the sense of Horja. By constructing a fibration structure on Z, we obtain a semi-orthogonal decomposition of the derived category of coherent sheaves of Z, hence decompose the EZ-spherical functor into a sequence of its subfunctors. We also show that the intersection multiplicity of the …
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Types, categories, actions
… thesis explores relational parametricity using fibrations. We present a complementary view of Reynolds's relational parametricity using the relations fibration. This approach allows us to uncover some of the hidden categorical structure present in Reynolds's original definitions and results, …
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Origami manifolds
… is a folded form whose kernel defines a circle fibration. In this thesis I explain how an origami manifold can be unfolded into a collection of symplectic pieces and conversely, how a collection of symplectic pieces can be folded (modulo compatibility conditions) into an origami manifold. Using …
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A Wyler-type approach to categorical topology
… theory just in the case that it is (co)fibration complete. This shows that a concrete category is of the form Mod(T) only for poset-valued theories T. We make some technical observations regarding the correspondence between transformations and concrete functors. In particular, the fact …
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Integral geometry, Hamiltonian dynamics, and Markov Chain Monte Carlo
… We also present a generalization of the Hopf fibration acting on arbitrary- ghost-valued random variables. For [beta] = 4, the geometry of the Hopf fibration is encoded by the quaternions; we investigate the extent to which the elegant properties of this encoding are preserved when one …
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Quantum geometric Langlands correspondence in positive characteristic: the GLN case
… of Fourier-Mukai transform on the Hitchin fibration. However, there are some new ingredients. Along the way we introduce a generalization of p-curvature for line bundles with non-flat connections, and construct a Liouville vector field on the space of de Rham local systems on C.
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Goodwillie Calculi
… H-spaces, the functor Pdn F is the base of a fibration &vbm0;⊥*+1F&vbm0;→ F→P dnF, whose fiber is the simplicial space associated to a cotriple ⊥ built from the (n + 1)st cross effect of the functor F. From this we derive a spectral sequence converging to pi* Pdn F. …
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