Geometriae Dedicata

, 139:83 | Cite as

The Hermite-Einstein equation and stable principal bundles (an updated survey)

  • Tomás L. Gómez
  • Ignacio Sols


This is a survey of work done in the past two decades relating a basic equation of general relativity and quantum field theory with the theory of stable vector bundles and stable principal bundles, as well as providing moduli spaces for such objects, and compactifying them.


Vector bundle Principal bundle Connection Stability Moduli space Hermite-Einstein equation Antiselfdual connection 

Mathematics Subject Classification (2000)

14D22 14D20 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.ICMAT (CSIC-UAM-UC3M-UCM)MadridSpain
  2. 2.Facultad de Ciencias MatemáticasUniversidad Complutense de MadridMadridSpain

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