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Twistor Geometry and Gauge Fields

  • Piotr Kielanowski
  • Anatol Odzijewicz
  • Emma Previato
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

In our course we have presented the basics of twistor theory and its applications to the solution of Yang–Mills duality equations. The first part describes the twistor correspondence between geometric objects in Minkowski space and their counterparts in twistor space

Keywords

twistors Yang-Mills fields Atiyah–Ward theorem. 

Mathematics Subject Classification (2000)

Primary 32L25 53C28 70S15 Secondary 83C60 81R25 81T13. 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Piotr Kielanowski
    • 1
  • Anatol Odzijewicz
    • 2
  • Emma Previato
    • 3
  1. 1.Departamento de FísicaCINVESTAVCiudad de MéxicoMexico
  2. 2.Institute of MathematicsUniversity of BialystokBialystokPoland
  3. 3.Department of Mathematics and StatisticsBoston UniversityBostonUSA

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