Result: Notes on prequantization of moduli of G-bundles with connection on Riemann surfaces
Title:
Notes on prequantization of moduli of G-bundles with connection on Riemann surfaces
Authors:
Source:
[Geometric and Topological Methods for Quantum Field Theory]Annales mathématiques Blaise Pascal. 11(2):181-186
Publisher Information:
Aubière: Université Blaise Pascal, Département de mathématiques, 2004.
Publication Year:
2004
Physical Description:
print, 1 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Algèbre, Algebra, Géométrie algébrique, Algebraic geometry, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Variétés et complexes cellulaires, Manifolds and cell complexes, Espace modules, Moduli space, Espacio módulos, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Préquantification, Prequantization, Precuantificación, Raccordement, Connection, Conexión, Singularité, Singularity, Singularidad, Surface Riemann, Riemann surface, Superficie Riemann, Courbe complexe, Complex curve, Fibré G, G bundle, Fibré Poincaré, Poincaré bundle, Fibré ligne, Line bundle
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
University of Chicago, Department of Mathematics, 5734 S. University Avenue, Chicago, Illinois 60637, United States
ISSN:
1259-1734
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.16408196
Database:
PASCAL Archive
Further Information
Let X → S be a smooth proper family of complex curves (i.e. family of Riemann surfaces), and F a G-bundle over X with connection along the fibres X → S. We construct a line bundle with connection (LF, ⊇F) on S (also in cases when the connection on F has regular singularities). We discuss the resulting (£F, ⊇F) mainly in the case G = C*. For instance when S is the moduli space of line bundles with connection over a Riemann surface X, X = X x S, and F is the Poincaré bundle over X, we show that (£F, ⊇F) provides a prequantization of S.