Infinite Grassmannians and moduli spaces of \(G\)-bundles
type: Item
instance of: scholarly article
title: Infinite Grassmannians and moduli spaces of \(G\)-bundles
zbMATH Open document ID: 0803.14012
DOI: 10.1007/BF01450475
author: Shrawan Kumar
author: M. S. Narasimhan
author: A. Ramanathan
published in: Mathematische Annalen
publication date: 1994-11-09T00:00:00Z
full work available at URL: https://eudml.org/doc/165241
review text: Let \(C\) be a smooth projective irreducible algebraic curve over \(\mathbb{C}\) of any genus and \(G\) a connected simply-connected simple affine algebraic group over \(\mathbb{C}\). In this paper we prove that the space of vacua (also called ``conformal blocks''; defined in conformal field theory using an integrable highest weight representation of the affine Kac-Moody algebra associated to \(G)\) is canonically isomorphic with the space of regular sections (``generalised theta functions'') of a (determinant) line bundle on the moduli space \({\mathfrak M}\) of semistable principal \(G\)-bundles on \(C\).
reviewed by: Shrawan Kumar
Mathematics Subject Classification ID: 14H10
Mathematics Subject Classification ID: 14K25
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 14D20
zbMATH DE Number: 683132
zbMATH Keywords: generalized theta functions
zbMATH Keywords: conformal blocks
zbMATH Keywords: determinant
zbMATH Keywords: moduli space
MaRDI profile type: Publication
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OpenAlex ID: W4242777712
description: scientific article; zbMATH DE number 683132