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 10 of 10 for “"Low-dimensional topology"”.
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Trace Diagrams, Representations, and Low-Dimensional Topology
This thesis concerns a certain basis for the coordinate ring of the character variety of a surface. Let G be a connected reductive linear algebraic group, and let S be a surface whose fundamental group pi is a free group. Then the coordinate ring C[Hom(pi,G)] of the homomorphisms from pi to G is …
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The quantum Johnson homomorphism and symplectomorphism of 3-folds
… X9 and second Johnson homomorphism - 2 from low-dimensional topology. The method is quite general, and unlike many abstract tools, explicitly computable in certain nice cases. As an application, we prove the existence of symplectomorphism ... of infinite order in symplectic mapping class …
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Shake Slice and Shake Concordant Links
… has proved significant for many problems in low dimensional topology. In the 1970s, Akbulut introduced the notion of shake concordance of knots, a generalization of the study of knot concordance. Recent work of Cochran and Ray has advanced our understanding of how shake concordance relates to …
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Least dilatation of pure surface braids
… a result that is fundamental to the field of low dimensional topology. In particular, Thurston's work gives us a powerful normal form for mapping classes: up to taking powers and restricting to subsurfaces, every mapping class can be decomposed into pieces which are either the identity or …
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Surgery Exact Triangles in Instanton Theory
… in the 1980s revolutionised the study of low dimensional topology. Since then, many Floer theories have been introduced with different structural properties and qualitative features. One of these Floer theories, Heegaard Floer theory, is popular due to its computational ease and rich …
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Problems in number theory and hyperbolic geometry
In the first part of this thesis we generalize a theorem of Kiming and Olsson concerning the existence of Ramanujan-type congruences for a class of eta quotients. Specifically, we consider a class of generating functions analogous to the generating function of the partition function and establish a …
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Connections between Floer-type invariants and Morse-type invariants of Legendrian knots.
We investigate existing Legendrian knot invariants and discover new connections between the theory of generating families, normal rulings and the Chekanov-Eliashberg differential graded algebra: CE-DGA). Given a Legendrian knot $\sK$ with generic front projection $\sfront$, we define a …
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Stable isoperimetric ratios and hyperbolic geometry
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms
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Embedded contact knot homology and a surgery formula
… the case of rational open book decompositions, allowing us to define ECK for rationally null-homologous knots. In its most general form this is a bi-filtered chain complex whose homology yields ECH of the closed manifold. There is also a hat version of ECK in this situation which is equipped with …
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Finite Dimensional Approximation and Pin(2)-equivariant Property for Rarita-Schwinger-Seiberg-Witten Equations
… or construct. However, by adapting the finite dimensional technique of Furuta, we provide a topological condition of X to ensure that M is non-compact; and thus, M contains infinitely many elements. </p>