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Twistor geometry and gauge fields. (English) Zbl 1452.81151
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 240-245 (2019).
Summary: 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. In the second part we apply twistor theory to the study of Yang-Mills duality equations on $$\mathbb{R}^4$$. We include a list of references for further study.
For the entire collection see [Zbl 1433.53003].
##### MSC:
 81T13 Yang-Mills and other gauge theories in quantum field theory 81T35 Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) 53C28 Twistor methods in differential geometry 57P10 Poincaré duality spaces 14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) 70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
##### Keywords:
twistors; Yang-Mills fields; Atiyah-Ward theorem
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##### References:
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