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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 23 for “"Monodromy."”.
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Determinant, Wall Monodromy and Spherical Functor
… We study the relationship between the wall monodromy and the determinant in the GIT wall crossing. The wall monodromy is an EZ-spherical 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 …
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Arboreal representations, sectional monodromy groups, and abelian varieties over finite fields
This thesis consists of three independent parts. The first part studies arboreal representations of Galois groups - an arithmetic dynamics analogue of Tate modules - and proves some large image results, in particular confirming a conjecture of Odoni. Given a field K, a separable polynomial …
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Kaleidoscopic decomposition, classification of finite branched coverings of the sphere and path-lifting algorithms
… analysis of different topological aspects as the monodromy action or the regularity. Moreover, we study rational maps and polynomials as branched self-coverings of the Riemann sphere by considering an original approach based on finite combinatorial groupoids, which allows us to prove novel results …
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Transport geometry of the restricted three-body problem
… call Lagrange periodic orbits. Calculating the monodromy matrix of the Lagrange periodic orbit and transforming into eigenbasis coordinates reveals that the transport geometry is a discrete analogue of the continuous transport geometry in the unperturbed problem. The second topic extends the …
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Hamiltonian non-isotopy between the Clifford torus and the Chekanov torus in $\R^4$
… the Hamiltonian invariant defined by Hamiltonian monodromy group of the torus [Yau].
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Connection Problem for Painlevé Tau Functions
… isomonodromic tau functions, describing their monodromy dependence. For Painlev´e equations we obtain them from the relation of tau function to classical action which is a consequence of quasihomogeneity of corresponding Hamiltonians. We use these identities to solve the connection problem for …
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Geometry and representation theory of symplectic singularities in the context of symplectic duality
… for their characters. Lastly, we describe the monodromy of eigenvalues of quantum multiplication operators for type A Nakajima quiver varieties by examining Bethe subalgebras in Yangians and linking their spectrum with Kirillov-Reshetikhin crystals.
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Veering Triangulations: Theory and Experiment
… given the stable lamination of the monodromy. These triangulations were introduced by Agol in 2011, and have been further studied by several others in the years since. In the first part of this work, we obtain experimental results which shed light on the combinatorial structure of …
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Mega-bimodules of topological polynomials: sub-hyperbolicity and Thurston obstructions
… two important implications: that all iterated monodromy groups of topological polynomials are contracting and that the Hubbard- Schliecher spider algorithm for complex polynomials generalizes to topological polynomials. We prove sub- hyperbolicity in the simplest non-trivial case and apply …
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Purity of the stratification by Newton polygons and Frobenius-periodic vector bundles
… regarding the finiteness of the geometric monodromy of representations of the fundamental group [dJ01].
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Various Manifestation of Non -Abelian Statistics in Condensed Matter Systems
… explicit wave functions allow us to compute the monodromy matrix that describes the effect of quasihole motion on the space of degenerate ground states. Our calculation provides a conformal field theory explanation of why certain transitions between ground states are forbidden. It is because …
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Supersymmetry, supergravity, and String Theory based inflationary cosmology
… inflationary model building. As a result, axion monodromy is considered. Representative models are compared to analysis of precision measurements of the cosmic microwave background radiation. This comparison is achieved using observable derived constraints of the spectral index and tensor to …
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On the higher Frobenius
… of) p-complete [subscript infinity]-rings whose monodromy is the higher Frobenius. Using this circle action, we give a fully faithful model for a simply connected finite complex X in terms of Frobenius-fixed [subscript infinity]-rings.
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Symplectic foliations, currents, and local Lie groupoids
… of its algebroid. In a certain sense, the monodromy groups of a Lie algebroid manifest themselves combinatorially in a local integration, as a lack of associativity.
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DEVELOPMENT OF ALGORITHMS FOR CLASSICAL AND SEMICLASSICAL DYNAMICS
… semiclassical theories, in which the symplectic monodromy matrix naturally occurs. When the calculation of the monodromy matrix becomes prohibitively expensive, we show how to use a neural gas algorithm to tessellate the phase space traversed by trajectories and approximate the local curvature of …
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Sensitivity analysis of oscillating hybrid systems
… coefficients is presented. It is noted that the monodromy matrix for these systems is not a fundamental matrix evaluated after one period, but depends on one. A three part decomposition of the sensitivities is presented based on the analysis. These three parts classify the influence of the …
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Log geometry and extremal contractions
… f is a positive dimensional Fano variety and the monodromy of f is as large as possible. We show that being the general fiber of a Mori fiber space is a very restrictive condition for Fano varieties with terminal Q-factorial singularities. More specifically, we obtain two criteria (one sufficient …
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Gromov-Witten theory in dimensions two and three
… curves admitting a degree 4 cover of P1 having monodromy group G. We compute the generating functions for these integrals and write them as a trigonometric expression summed over the positive roots of the E6 and D4 root systems respectively. As an application, we prove the Crepaut Resolution …
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Projective twists and the Hopf correspondence
… which provide an isotopy between the global monodromy of a Lefschetz fibration and a fibred twist along an $S^1$-fibred coisotropic submanifold of the smooth fibre. We also use these relations to study two classes of monotone Lagrangian submanifolds of $(T^*\mathbb{C}\mathbb{P}^2, …
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Floquet Theory on Banach Space
… Next we study the monodromy of the system <em>V</em> := <em>U</em>(<em>ω</em>,0). We point out that the spectrum set of <em>V</em> actually determines the stability of the Floquet system. Moreover, we show that the existence and uniqueness of the periodic solution of …
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