Fourier-Laplace transform of a variation of polarized complex Hodge structure
نویسندگان
چکیده
منابع مشابه
Fourier-laplace Transform of a Variation of Polarized Complex Hodge
— We show that the limit, by rescaling, of the ‘new supersymmetric index’ attached to the Fourier-Laplace transform of a polarized variation of Hodge structure on a punctured affine line is equal to the spectral polynomial attached to the same object. We also extend the definition by Deligne of a Hodge filtration on the de Rham cohomology of a exponentially twisted polarized variation of comple...
متن کاملFourier-laplace Transform of a Variation of Polarized Complex Hodge Structure
— We show that the Fourier-Laplace transform of a regular holonomic module over the Weyl algebra of one variable, which generically underlies a variation of polarized Hodge structure, underlies itself an integrable variation of polarized twistor structure. Résumé (Transformation de Fourier-Laplace d’une variation de structure de Hodge complexe polarisée) Nous montrons que le transformé de Fouri...
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— We show that the limit, by rescaling, of the ‘new supersymmetric index’ attached to the Fourier-Laplace transform of a polarized variation of Hodge structure on a punctured affine line is equal to the spectral polynomial attached to the same object. We also extend the definition by Deligne of a Hodge filtration on the de Rham cohomology of a exponentially twisted polarized variation of comple...
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We show that if the Stokes matrix of a connection with a pole of order two and no ramification gives rise, when added to its adjoint, to a positive semi-definite Hermitian form, then the associated integrable twistor structure (or TERP structure, or non-commutative Hodge structure) is pure and polarized.
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In addition to their inestimable importance in mathematics and its applications, Fourier series also serve as the entry point into the wonderful world of Fourier analysis and its wide-ranging extensions and generalizations. An entire industry is devoted to further developing the theory and enlarging the scope of applications of Fourier–inspired methods. New directions in Fourier analysis contin...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2008
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2008.060