Determinant bundles, Quillen metrics, and Mumford isomorphisms over the universal commensurability Teichmüller space

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/SULLIVAN/1974-1995/M_95_43/M_95_43.pdf

Sullivan, Dennis

SULLIVAN

05/1995

Abstract : A coherent, genus independent, equivariant construction of determinant line bundles, and connecting Mumford isomorphisms, is obtained over the inductive limie of the Teichmüller spaces of Riemann surfaces of varying genus. The direct limit of the Teichmüller spaces corresponds to the inverse limit over the directed system of all finite unbrached coverings of a fixed surface.

ESPACES DE TEICHMULLER

M/95/43

©IHES

Citer ce document

SULLIVAN, BISWAS, et NAG, “Determinant bundles, Quillen metrics, and Mumford isomorphisms over the universal commensurability Teichmüller space,” Archives de l'IHES, consulté le 22 mai 2024, https://omeka.ihes.fr/document/M_95_43.pdf.