Topological quantization and cohomology
type: Item
instance of: scholarly article
title: Topological quantization and cohomology
zbMATH Open document ID: 0612.55009
DOI: 10.1007/BF01212452
author: Orlando Alvarez
published in: Communications in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: The paper gives some applications of algebraic topology methods in theoretical physics. A general criterion for charge quantization is used in the discussion of several physical models. The first section is an introduction. The second and third sections are characterized by their title, ''Dirac's quantization condition revisited'' and ''A field theory example'', respectively. Two sections, 4 and 5, present a review of Čech cohomology theory and relations between cohomology and homotopy, following classical textbooks (mainly \textit{R. Bott} and \textit{L. W. Tu} [Differential forms in algebraic topology (1982; Zbl 0496.55001)]; the reader is advised to compare that book). The purpose of Section 5 is to introduce some uniform approach to quantization conditions for many theories, based on Čech cohomology.
Mathematics Subject Classification ID: 55N99
Mathematics Subject Classification ID: 55N05
Mathematics Subject Classification ID: 81V99
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 55P99
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 3990385
zbMATH Keywords: charge quantization
zbMATH Keywords: Dirac's quantization condition
zbMATH Keywords: Čech cohomology theory
zbMATH Keywords: Differential forms
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3990385