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1دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
مصطلحات موضوعية: Contents
الوصف: Instantons and curves on class VII surfaces
وصف الملف: application/pdf
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2دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
مصطلحات موضوعية: Contents
الوصف: The first goal of the article is to solve several fundamental problems in the theory of holomorphic bundles over non-algebraic manifolds: For instance we prove that stability and semi-stability are Zariski open properties in families when the Gauduchon degree map is a topological invariant, or when the parameter manifold is compact. Second we show that, for a generically stable family of bundles over a Kähler manifold, the Petersson-Weil form extends as a closed positive current on the whole parameter space of the family. This extension theorem uses classical tools from Yang-Mills theory (e.g. the Donaldson functional on the space Hermitian metrics and its properties). We apply these results to study families of bundles over a Kählerian manifold Y parameterized by a non-Kählerian surface X, proving that such families must satisfy very restrictive conditions. These results play an important role in our
وصف الملف: application/pdf
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3دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
مصطلحات موضوعية: Contents
الوصف: The first goal of the article is to solve several fundamental problems in the theory of holomorphic bundles over non-algebraic manifolds: For instance we prove that stability and semi-stability are Zariski open properties in families when the Gauduchon degree map is a topological invariant, or when the parameter manifold is compact. Second we show that, for a generically stable family of bundles over a Kähler manifold, the Petersson-Weil form extends as a closed positive current on the whole parameter space of the family. This extension theorem uses classical tools from Yang-Mills theory developed by Donaldson and Simpson (e.g. the heat equation for Hermitian metrics and its properties). We apply these results to study families of bundles over a Kählerian manifold Y parameterized by a non-Kählerian surface X, proving that such families must satisfy very restrictive conditions. These results play an important role in our program to prove existence of curves on class VII
وصف الملف: application/pdf
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4دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
مصطلحات موضوعية: Contents
الوصف: The first goal of the article is to solve several fundamental problems in the theory of holomorphic bundles over non-algebraic manifolds: For instance we prove that stability and semi-stability are Zariski open properties in families when the Gauduchon degree map is a topological invariant, or when the parameter manifold is compact. Second we show that, for a generically stable family of bundles over a Kähler manifold, the Petersson-Weil form extends as a closed positive current on the whole parameter space of the family. This extension theorem uses classical tools from Yang-Mills theory developed by Donaldson and Simpson (e.g. the heat equation for Hermitian metrics and its properties). We apply these results to study families of bundles over a Kählerian manifold Y parameterized by a non-Kählerian surface X, proving that such families must satisfy very restrictive conditions. These results play an important role in our program to prove existence of curves on class VII
وصف الملف: application/pdf
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5دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
الوصف: Harmonic sections in sphere bundles, normal neighborhoods of reduction loci, and instanton moduli spaces on definite 4-manifolds
وصف الملف: application/pdf
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6دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
الوصف: Symplectic stability, analytic stability in
وصف الملف: application/pdf
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7دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
الوصف: and applications
وصف الملف: application/pdf
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8دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
الوصف: and applications
وصف الملف: application/pdf
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9دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
الوصف: and applications
وصف الملف: application/pdf
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10دورية أكاديمية
المؤلفون: Andrei Teleman
المساهمون: The Pennsylvania State University CiteSeerX Archives
الوصف: surfaces with b2 = 1
وصف الملف: application/pdf