Spinors, Twistors and Classical Geometry
arXiv:2108.02603 · doi: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.
Based on a talk given on July 22nd 2021 for Roger Penrose's 90th birthday