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 7 of 7 for “"Differential topology"”.
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An elementary approach to some aspects of Heegaard Floer homology
… All of this is done using basic tools from differential topology and complex analysis. We will end this thesis by briefly describing some of the analysis required to ground this work in the more general theory of J-holomorphic curves and partial differential operators.
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Analysis of critical points for nonconvex optimization
… the constraint region. Using the index theory of differential topology, we are able to establish the uniqueness of the local optimum for problems in which every generalized stationary point (Karush-Kuhn-Tucker point) of the objective function is a strict local minimum and the function satisfies …
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Topological analysis of singularity loci for serial and parallel manipulators
… based upon Morse theory, an important branch of differential topology. Such procedure counts and identify the singularity-free regions that are cut by the singularity locus out of the configuration space, and the disjoint regions composing the configuration space of a parallel manipulator. …
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Pitchfork bifurcations of invariant manifolds
… for proving the above mentioned result, involve differential topology and analysis and are adapted from Hartman [18] and Hirsch [19]. The main theorem of the thesis is illustrated by means of a canonical example and applied to a 2-dimensional discrete version of the Lotka-Volterra model, …
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Towards birational aspects of moduli space of curves
… ideas from geometry (algebraic, symplectic, and differential), topology, combinatorics, and physics. One way of understanding its birational geometry is by describing its cones of ample and effective divisors and the dual notion of the Mori cone (the closed cone of curves). This thesis aims at …
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Linking Forms, Singularities, and Homological Stability for Diffeomorphism Groups of Odd Dimensional Manifolds
Let n > 1. We prove a homological stability theorem for the diffeomorphism groups of (4n+1)-dimensional manifolds, with respect to forming the connected sum with (2n-1)-connected, (4n+1)-dimensional manifolds that are stably parallelizable. Our techniques involve the study of the action of the …
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Chord arc submanifolds of arbitrary codimension
In this work we extend the studies of Stephen Semmes concerning hypersurfaces which satisfy a chord-arc condition with small constant to geometric objects of higher codimension and thereby we open this subject to questions arising in the field of geometric knot theory. We consider embedded, …