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 18 of 18 for “"Index Theory"”.
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Aspects of index theory
Index theory is the theory of linear maps with finite dimensional nullspaces and cokernels. In particular, the index of such a map is the dimension of its nullspace minus that of its cokernel. We survey some aspects of this theory in this thesis. In particular, the first chapter talks about general …
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Foliations and exotic index theory
… map is rationally injective by using the exotic index theorem. The foliation exotic index theorem of S. Hurder is an extension of the theorem of G. Yu to the index theory for the foliations. Using the functorial property of the Kasparov KK-product, the foliation exotic index theorem can be …
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Spectral Flow in Equivariant Index Theory
Contains fulltext : 317235.pdf (Publisher’s version ) (Open Access)
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K-theory and index theory on manifolds with boundary
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.
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Valuation of Stock Index Futures and Their Relation to the Underlying Index: Theory and Evidence (Hedging)
… to risk were applied to the three stock index futures. Both optimal hedge ratios and measures of effectiveness were calculated. It was found that the models worked well with stock index futures: the various criteria (utility maximization, variance minimization, basis arbitrage) were met …
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Positive scalar curvature and Callias-type index theorems for proper actions
… by publication is a study of the equivariant index theory of Dirac operators and Callias-type operators in two distinct settings, namely on cocompact and non-cocompact manifolds with a Lie group action. The first two chapters are a short resumé of Dirac operators and index theory and form a …
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Analysis of critical points for nonconvex optimization
… disciplines. Using the mountain pass theory of variational analysis, we are able to establish the uniqueness of the local optimum for problems in which every stationary point of the objective function is a strict local minimum and the function satisfies certain boundary conditions on …
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Twisted Manolescu-Floer spectra for Seiberg-Witten monopoles
… dimensional approximation technique and Conley index theory to Seiberg-Witten theory of 3-manifolds. Another part of the construction involves a concept of twisted parametrized spectra introduced by Douglas. We also provide explicit computation for the manifolds S 1 x S 2 and T 3 .
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Results on the fixed points of multifunctions with applications to problems in optimization and equilibrium theory
"In this thesis the techniques of multifunction theory are applied to problems in optimization and equilibrium theory. First, fixed point index theory for multifunctions is used to extend a continuation result of F. E. Browder. This extension is then used to obtain existence results for several …
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Genera via Deformation Theory and Supersymmetric Mechanics
… (i.e. cobordism invariants) from the deformation theory in- spired by supersymmetric quantum mechanics. First, we construct a canonical deformation quantization for symplectic supermanifolds. This gives a novel proof of the super-analogue of Fedosov quantization. Our proof uses the formalism of …
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On the N-body Problem
… linear stability of Kepler orbits, and index theory for symplectic path are studied. The history of their study is summarized in section 1. Section 2 deals with the following problem: given a collinear configuration of 4 bodies, under what conditions is it possible to choose positive …
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Two-patch herbivore/vegetation models with density-dependent migration
… We used the geometric singular perturbation theory in order to reduce the dimension of the system. Using the continuation software AUTO we provided bifurcation diagrams for the reduced systems and we also provided some numerical illustrations to show the dynamics of the system for different …
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Sequences of compact curvature
… a magical mix of perturbation and regularisation theory. In the general setting of Hilbert spaces compact operators are "small." In order to develop this theory, many elements of diverse mathematical disciplines, such as functional analysis, differential geometry, partial differential equation, …
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An Embedded Toeplitz Problem
… operators and their relationship with KK-theory in order to apply this relationship to define and analyze embedded Toeplitz problems. In particular, we study the embedded Toeplitz problem of the unit disk into the unit ball in C^2. The embedding of Toeplitz problems suggests a way to …
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Genetic evaluation and selection in multibreed populations
… is used widely in animal production, thus theory and methods for genetic evaluation and selection are required for multibreed populations. This study developed theory for modelling genotypic means and covariances which are required to obtain genetic evaluation by best linear unbiased …
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Removing redundancy in speech by modeling forward masking
… recognition (HSR). Based on the Articulation Index theory, they first developed a tool named the AI-gram which can display the audible components of speech sounds. Using this tool, they discovered that a small set of speech features in the AI-gram which they named primary cues can account for …
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On a pseudodifferential calculus with modest boundary decay condition
… a detailed proof of the Atiyah-Patodi-Singer index theorem, including a review of Dirac operators of product type and construction of the heat kernel, is presented.</p>