576 research outputs found
On the Structure of the Small Quantum Cohomology Rings of Projective Hypersurfaces
We give an explicit procedure which computes for degree the
correlation functions of topological sigma model (A-model) on a projective Fano
hypersurface as homogeneous polynomials of degree in the correlation
functions of degree 1 (number of lines). We extend this formalism to the case
of Calabi-Yau hypersurfaces and explain how the polynomial property is
preserved. Our key tool is the construction of universal recursive formulas
which express the structural constants of the quantum cohomology ring of as
weighted homogeneous polynomial functions in the constants of the Fano
hypersurface with the same degree and dimension one more. We propose some
conjectures about the existence and the form of the recursive formulas for the
structural constants of rational curves of arbitrary degree. Our recursive
formulas should yield the coefficients of the hypergeometric series used in the
mirror calculation. Assuming the validity of the conjectures we find the
recursive laws for rational curves of degree 4 and 5.Comment: 32 pages, changed fonts, exact results on quintic rational curves are
added. To appear in Commun. Math. Phy
Dopexamine can attenuate the inflammatory response and protect against organ injury in the absence of significant effects on hemodynamics or regional microvascular flow
This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
Diabetic Nephropathy: Novel Molecular Mechanisms and Therapeutic Avenues
This is the final version of the article. Available from Hindawi Publishing Corporation via the DOI in this record
An absorbing boundary formulation for the stratified, linearized, ideal MHD equations based on an unsplit, convolutional perfectly matched layer
Perfectly matched layers are a very efficient and accurate way to absorb
waves in media. We present a stable convolutional unsplit perfectly matched
formulation designed for the linearized stratified Euler equations. However,
the technique as applied to the Magneto-hydrodynamic (MHD) equations requires
the use of a sponge, which, despite placing the perfectly matched status in
question, is still highly efficient at absorbing outgoing waves. We study
solutions of the equations in the backdrop of models of linearized wave
propagation in the Sun. We test the numerical stability of the schemes by
integrating the equations over a large number of wave periods.Comment: 8 pages, 7 figures, accepted, A &
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