Analysis on loop spaces and topology
type: Item
instance of: scholarly article
title: Analysis on loop spaces and topology
zbMATH Open document ID: 1042.58003
DOI: 10.1023/A:1019850028562
published in: Mathematical Notes
publication date: 2003-06-15T00:00:00Z
review text: This is a survey paper on analysis on loop spaces and topology, important for topology and quantum field theory. The survey consists of the following sections, whose titles describe the content of the paper: Sobolev cohomology of loop spaces; Stochastic Chen-Souriau cohomologies; The De Rham-Hodge-Kodaira decomposition; Quotients of loop groups and Witten genus; Two-dimensional aspects.
reviewed by: Yuri E. Gliklikh
Mathematics Subject Classification ID: 58D15
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 58J65
zbMATH DE Number: 1928279
zbMATH Keywords: loop space
zbMATH Keywords: loop group
zbMATH Keywords: Sobolev cohomology
zbMATH Keywords: Chen-Souriau cohomology
zbMATH Keywords: Witten genus
author: Rémi Léandre
MaRDI profile type: Publication
full work available at URL: a:1019850028562
OpenAlex ID: W2020156591
description: scientific article; zbMATH DE number 1928279