Spinors, Twistors and Classical Geometry

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.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Author: Hitchin, Nigel J.
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211437
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Spinors, Twistors and Classical Geometry. Nigel J. Hitchin. SIGMA 17 (2021), 090, 9 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:1815-0659