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Showing 1 to 10 of 10 for “"eliashberg"”.
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Invariants of Legendrian links
… of these invariants is the powerful Chekanov-Eliashberg differential graded algebra, which we reformulate and generalize. We give applications to Legendrian knots and links in three-space and in the solid torus. A related question, the calculation of the maximal Thurston-Bennequin number for a …
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Connections between Floer-type invariants and Morse-type invariants of Legendrian knots.
… 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 combinatorial/algebraic object on $\sfront$ called a \emph{Morse complex sequence}, abbreviated MCS. An MCS encodes a …
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A Tourist's Account of Characteristic Foliations on Convex Surfaces in 3-D Contact Geometry
… theorem can be used to replace a key step in Eliashberg and Fraser’s classification of topologically trivial knots, thus providing an alternate proof of that result and thereby highlighting the power of the aforementioned theorem. We provide a simplification of this proof using intermediate …
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Bordered Legendrian knots and sutured Legendrian invariants
… a van Kampen theorem which recovers the Chekanov-Eliashberg invariant Ch(K) of the knot from the bordered DGAs. This leads to the construction of morphisms Ch(K) --> Ch(K') corresponding to certain Legendrian tangle replacements and many related applications. We also examine several examples in …
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Spin fluctuations and high temperature superconductivity in the copper oxides
… is obtained. This requires the solution of the Eliashberg equations taking full account of the momentum and frequency dependence of the effective interaction; approximations commonly used for phononinduced superconductivity fail to yield quantitatively meaningful results.
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Contact geometric theory of Anosov flows in dimension three and related topics
… on the previous observations of Mitsumatsu and Eliashberg-Thurston in the mid 90s, and in the context of a larger class of dynamics, namely projectively Anosov flows. Our improvement of those observations, which have been left unexplored to a great extent in our view, facilitates employing new …
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Normal and superconducting many-body systems
… high transition temperatures Tc from our BK-Eliashberg scheme by introducing an ansatz for the susceptibility of the carriers. We postulate that the latter is enhanced in an additive manner due to the weak antiferromagnetic order of the Cu02 planes. Thus we have obtained a dx2_y2 gap with Tc …
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Electron Hydrodynamics in Crystalline Solids: Microscopic Origins, Mesoscopic Size Effects, and Macroscopic Observables
… are predicted from first principles at the Eliashberg level of theory. These suggest the indirect lattice-mediated electron interaction dominates in bulk semimetals, including those with topological band crossings. These microscopic interaction lifetimes are used as input to solve the …
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A study of superconducting lead-indium alloys subjected to hydrostatic pressure using the electron tunneling technique
… phonon spectrum α<sup>2</sup>(ω)F(ω) from the Eliashberg self-energy equations. The program also calculates λ and <α<sup>2</sup>> using α<sup>2</sup>(ω)F(ω).</p> <p>The samples were suspended in a beryllium-copper pressure cell and solid helium provided nearly hydrostatic pressure. Pressure was …
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Lattice dynamics and electron/phonon interactions in epitaxial transition-metal nitrides
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2015-09-29 without embargo terms