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arXiv · 2108.02603

Spinors, Twistors and Classical Geometry

Nigel J. Hitchin
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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.

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Nigel J. Hitchin. 2021-08-05. Spinors, Twistors and Classical Geometry. https://doi.org/10.3842/sigma.2021.090

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