The determinant line bundle over moduli spaces of instantons on abelian surfaces (Q1340962)
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scientific article; zbMATH DE number 704951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The determinant line bundle over moduli spaces of instantons on abelian surfaces |
scientific article; zbMATH DE number 704951 |
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The determinant line bundle over moduli spaces of instantons on abelian surfaces (English)
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21 December 1994
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We study the determinant line bundle over the moduli space of stable bundles on abelian surfaces. We evaluate their analytic torsions. We extend Mukai's version of the Parseval theorem to \(L^ 2\) metrics on cohomology groups. We prove that the Mukai transform preserves the determinant line bundle as a hermitian line bundle. This is done by induction via the natural boundary of the moduli spaces.
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instantons
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determinant line bundle over moduli space of stable bundles
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abelian surfaces
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torsion
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Mukai transform
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