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Singular connections and Riemann theta functions - MaRDI portal

Singular connections and Riemann theta functions (Q1295189)

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scientific article; zbMATH DE number 1307912
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Singular connections and Riemann theta functions
scientific article; zbMATH DE number 1307912

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    Singular connections and Riemann theta functions (English)
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    30 May 2000
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    Let \(X\) be a smooth, closed, orientable 4-manifold and \(\Sigma\subset X\) a closed embedded surface. The \(SU(n+1)\)-singular connection space over \(X-\Sigma\) is described and the \(SU(n+1)\)-singular Chern-Weil formula is given. After a number-theoretic result involving the number of ways of representing an integer as a sum of squares, \(SU(n+1)\)-singular flat connections are studied.
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    Chern-Weil formula
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    connections
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    sum of squares
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