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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 090, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.090 (Mi sigma1772) 		 
Spinors, Twistors and Classical Geometry

Nigel J. Hitchin

Mathematical Institute, Woodstock Road, Oxford, OX2 6GG, UK
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DOI: https://doi.org/10.3842/SIGMA.2021.090
Abstract: The paper studies explicitly the Hitchin system restricted to the Higgs fields on a fixed very stable rank 2 bundle in genus 2 and 3. The associated families of quadrics relate to both the geometry of Penrose's twistor spaces and several classical results.
Keywords: spinor, twistor, quadric, stable bundle.
Received: August 7, 2021; in final form October 7, 2021; Published online October 10, 2021
Bibliographic databases:
Document Type: Article
MSC: 14H60, 32L25
Language: English
Citation: Nigel J. Hitchin, “Spinors, Twistors and Classical Geometry”, SIGMA, 17 (2021), 090, 9 pp.
Citation in format AMSBIB
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