The determinant line bundle over moduli spaces of instantons on abelian surfaces
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.
determinant line bundle over moduli space of stable bundles
scientific article; zbMATH DE number 704951