Net Cohomology and Its Applications to Field Theory

  • John E. Roberts
Conference paper


Nets form a convenient basic mathematical language for field theory and their cohomological invariants can give qualitative information on the field theory under investigation. Emphasis is placed here on computing their low dimensional cohomologies. The results are applied to the 0- and 1-cohomologies of the field nets and observable nets of quantum field theory and the associated superselection structure. The place of soliton sectors in two space-time dimensions is pointed out but no detailed analysis of this exceptional case is presented.


Gauge Group Free Field Local Cohomology Cochain Complex Vacuum Sector 
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Copyright information

© Springer-Verlag/Wien 1980

Authors and Affiliations

  • John E. Roberts
    • 1
  1. 1.Fachbereich 5Universität OsnabrückOsnabrückFederal Republic of Germany

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