Spinors, Twistors and Classical Geometry
Algebraic Geometry
2021-10-12 v3
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.
Cite
@article{arxiv.2108.02603,
title = {Spinors, Twistors and Classical Geometry},
author = {Nigel J. Hitchin},
journal= {arXiv preprint arXiv:2108.02603},
year = {2021}
}
Comments
Based on a talk given on July 22nd 2021 for Roger Penrose's 90th birthday