Analytic torsion for line bundles on Riemann surfaces (Q1814231)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Analytic torsion for line bundles on Riemann surfaces |
scientific article; zbMATH DE number 10346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic torsion for line bundles on Riemann surfaces |
scientific article; zbMATH DE number 10346 |
Statements
Analytic torsion for line bundles on Riemann surfaces (English)
0 references
25 June 1992
0 references
For line bundles over Riemann surfaces, analytic torsion is the determinant of the Laplacian when it acts on smooth sections of a flat line bundle. The aim of this paper is to give an explicit expression for analytic torsion as a function on the space of flat line bundles; to do this, the author uses Riemann's theta-function and information about the underlying Riemann surface.
0 references
line bundles over Riemann surfaces
0 references
analytic torsion as a function on the space of flat line bundles
0 references
Riemann's theta-function
0 references
