Vector bundles | Riemann surfaces

Quillen determinant line bundle

In mathematics, the Quillen determinant line bundle is a line bundle over the space of Cauchy–Riemann operators of a vector bundle over a Riemann surface, introduced by Quillen. Quillen proved the existence of the Quillen metric on the determinant line bundle, a Hermitian metric defined using the analytic torsion of a family of differential operators. (Wikipedia).

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Related pages

Quillen metric | Riemann surface | Line bundle | Analytic torsion