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

Auteur(e.s) : SULLIVAN

Date : 05/1995

Description : 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.

Sujet(s) : ESPACES DE TEICHMULLER

Source : M/95/43

©IHES

Mots-clés

1995, BALAVIN, BANACH, BISWAS, CONNES, DELIGNE, EN, ESPACES DE TEICHMULLER, GENDRON, GROTHENDIECK, HODGE, KAHLER, KNIZHNIK, KODAIRA, MARGULIS, MUMFORD, NAG, PETTERSON, PICARD, POINCARE, POLYAKOV, PREPUBLICATION, QUILLEN, RIEMANN, ROCH, SERRE, SPENCER, STEIN, SULLIVAN, SURFACES DE RIEMANN, TEICHMULLER, WEIL

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SULLIVAN, BISWAS, et NAG, “Determinant bundles, Quillen metrics, and Mumford isomorphisms over the universal commensurability Teichmüller space,” Archives de l'IHES, consulté le 10 septembre 2024, https://omeka.ihes.fr/document/M_95_43.pdf.

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

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