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The electric fields produced in folded proteins influence nearly every aspect of protein function. We present a vibrational spectroscopy technique that measures changes in electric field at a specific...
The response of an intervalence band to an applied electric field, called an intervalence band Stark effect, is considered in detail. Because the application of an electric field to a symmetric mixed-...
A theory of the resonance Stark effect data reported in part 1 (preceding paper in this issue) is developed. The model used involves a weak charge resonance interaction between the excited state of an...
The dependence of the rate constant for electron transfer on energy can be systematically studied by measuring kinetics in an applied electric field. General relationships are developed between observ...
Uniform design is to seek its design points to be uniformly scattered on the experimental domain under some discrepancy measure. In this paper all the design points of a full factorial design can be s...
Let F be the complete °ag variety over SpecZ with the tautological ˉltration 0 ½ E1 ½ E2 ½ ¢ ¢ ¢ ½ En = E of the trivial bundle E of rank n over F. The trivial hermitian metric o...
Let E be a symplectic vector space of dimension 2n (with the standard antidiagonal symplectic form) and let G be the Lagrangian Grassmannian over SpecZ, parametrizing Lagrangian subspaces in E over...
Teichmuller theory is rich in applications to topology and physics. By way of the mapping class group the subject is closely related to knot theory and threemanifolds. From the uniformization theorem,...
Our aim here is to describe a direct and natural connection between the representation theory of GLn and the Schubert calculus, which goes via the Chern-Weil theory of characteristic classes. Indeed,...
This paper uses Morse-theoretic techniques to compute the equivariant Betti numbers of the space of semistable rank two degree zero Higgs bundles over a compact Riemann surface, a method in the spirit...
MORSE THEORY AND STABLE PAIRS     MORSE THEORY  STABLE PAIRS       2015/12/17
We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs (A, Φ), where A is a unitary connection on a rank 2 hermitian vector bundle over a compact Riemann surface, and Φ is ...
We study the Arakelov intersection ring of the arithmetic scheme OG which parametrizes maximal isotropic subspaces in an even dimensional vector space, equipped with the standard hyperbolic quadrati...
Let X = Sp2n/B the flag variety of the symplectic group. We propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of t...
We propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of the cohomology ring of the orthogonal flag variety X = SON...
We use Young’s raising operators to give short and uniform proofs of several well known results about Schur polynomials and symmetric functions, starting from the Jacobi-Trudi identity.

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