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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 25 for “"isotopy"”.
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Symplectic isotopy for cuspidal curves
… of this work deals with the local symplectic isotopy problem for cuspidal curves. Let B be the unit ball in R4 with the standard symplectic form wst. Let J0 be a wst-tame almost complex structure. Let Co c B be a connected J-holomorphic curve in B with a isolated singularity at 0 E B and …
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On Isotopy Types of Complexes With Application to Knots
Made available in DSpace on 2014-12-09T22:17:45Z (GMT). No. of bitstreams: 1 6901319.pdf: 1000956 bytes, checksum: 0ecc3e8baaad80e448e6d13e66f06332 (MD5) Previous issue date: 1967
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Hamiltonian non-isotopy between the Clifford torus and the Chekanov torus in $\R^4$
… thesis concerns proving the Hamiltonian non-isotopy between the monotone Clifford torus and the Chekanov torus in $\R^4$ by employing three Hamiltonian isotopy invariants: counting of Maslov index 2 pseudo-holomorphic discs with boundaries lying on the torus [EP], the Hamiltonian invariant …
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A computation of the action of the mapping class group on isotopy classes of curves and arcs in surfaces
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1982.
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On Nonassociative Division Rings and Projective Planes
… and only if the semifields are isotopic, where isotopy is a relationship similar to but weaker than isomorphism. Before we prove those results, we explore the nature of isotopy to get a little better feel for the concept. For example, we look at isotopy for associative algebras. We will also …
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Harmonic maps of trivalent trees
… and uniqueness is shown to hold up to a certain isotopy condition. Moreover, within its particular isotopy class, each harmonic map is shown to be a local minimum for the energy functional. A harmonic map of a trivalent tree is determined by its associated nodes. Collectively, these nodes are a …
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Tight contact structures on small Seifert spaces
… in it, and apply this relation to classify up to isotopy tight contact structures on small Seifert spaces with e₀ [not equal to] 0, -1, -2.
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Exotic Phenomena in Dimension Four
… illustrate the difference between the smooth isotopy, smooth equivalence (by a diffeomorphism), and topological isotopy of smoothly embedded surfaces in a 4-manifold. We construct infinitely many smooth oriented 4-manifolds containing pairs of homotopic, smoothly embedded 2-spheres that are …
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Circle-Valued Generating Family Invariants
… cannot be permuted non-cyclically by Legendrian isotopy, even though such permutations are possible under topological isotopy.</p>
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Khovanov Homology & Uniqueness of Surfaces in the 4-ball
… to examine the smooth, boundary-preserving isotopy of surfaces embedded in the 4-ball. We exemplify an infinite family of prime knots that bound an arbitrarily-large number of smoothly-distinct slice disks by distinguishing the maps they induce on Khovanov homology. Similar techniques …
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On grid diagrams, braids and Markov moves
… theorem involving moves on braid words and link isotopy.
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The Enhanced Linking Number and its Applications
… a notion of inter-component linking. \emph{Isotopy} is the strongest class of equivalence that preserves all notions of intra-component knotting and inter-component linking.
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Symplectic cohomology of contractible surfaces
… torus which is not displaceable by Hamiltonian isotopy, and hence that higher products of this manifold provide non-standard symplectic structures on Euclidean space which are convex at infinity. I extend these techniques a wide class of smooth contractible affine surfaces of log-general type to …
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Min-max minimal surfaces in 3-manifolds
… of a minimizing sequence of surfaces in an isotopy class.
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Connections between Floer-type invariants and Morse-type invariants of Legendrian knots.
… $\sAugNgresch$. In the case of Legendrian isotopy classes admitting representatives with two-bridge front projections, $\sDMCSeq$ and $\sAugNgresch$ are in bijection.
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A dança espetáculo : uma análise semiótica
… a large paradigmatic line, which works as deeper isotopy that conducts the others, is considered: movement. Therefor, space and time are established as two main paradigms responsible for assuring the relationship between elements of semiotic syncretism in dance. In all languages involved in …
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Real Algebraic Geometry of the Sextic Curves
… of degree six. We use the topological and rigid isotopy classifications of plane sextics to explore the reality of several features associated to each class, such as the bitangents, inflection points, and tensor eigenvectors. We also study the real tensor rank of plane sextics, the construction …
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On Nullification of Knots and Links
… other. Nullification distances form a class of isotopy invariants for oriented knots and links which may help inform potential reaction pathways for enzyme action on DNA. The minimal number of nullification moves to reach a è-component unlink will be called the è-nullification number.</p> …
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Computations in monotone Floer theory
… the standard Clifford torus by a Hamiltonian isotopy.
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Rigidity of symplectic fillings, symplectic divisors and Dehn twist exact sequences
… of symplectic log Calabi-Yau surface up to isotopy of symplectic divisors. Finally, we study algebraic properties of Fukaya category on the functor level and uti- lize Biran-Cornea’s Lagrangian cobordism theory and Mau-Wehrheim-Woodward func- tor to provide a partial proof of …
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