# Hitchin Hamiltonians in Genus 2

@article{Heu2015HitchinHI, title={Hitchin Hamiltonians in Genus 2}, author={Viktoria Heu and Frank Loray}, journal={arXiv: Algebraic Geometry}, year={2015}, pages={153-172} }

We give an explicit expression of the Hitchin Hamiltonian system for rank two vector bundles with trivial determinant bundle over a curve of genus two.

## 6 Citations

### Spinors, Twistors and Classical Geometry

- MathematicsSymmetry, Integrability and Geometry: Methods and Applications
- 2021

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…

### Multiplicity algebras for rank 2 bundles on curves of small genus

- Mathematics
- 2022

In [12] Hausel introduced a commutative algebra – the multiplicity algebra – associated to a ﬁxed point of the C ∗ -action on the Higgs bundle moduli space. Here we describe this algebra for a ﬁxed…

### O ct 2 02 2 Multiplicity algebras for rank 2 bundles on curves of small genus Nigel Hitchin October

- Mathematics
- 2022

In [12] Hausel introduced a commutative algebra – the multiplicity algebra – associated to a fixed point of the C∗-action on the Higgs bundle moduli space. Here we describe this algebra for a fixed…

### Critical Loci for Higgs Bundles

- MathematicsCommunications in Mathematical Physics
- 2019

The paper studies the locus in the moduli space of rank 2 Higgs bundles over a curve of genus g corresponding to points which are critical for d of the Poisson commuting functions defining the…

### Critical Loci for Higgs Bundles

- MathematicsCommunications in Mathematical Physics
- 2019

The paper studies the locus in the moduli space of rank 2 Higgs bundles over a curve of genus g corresponding to points which are critical for d of the Poisson commuting functions defining the…

### Some results related to isomonodromic deformations

- Philosophy
- 2019

L'objet de ce memoire, redige en anglais, est de presenter les travaux de recherche recents de l'auteure, en vue de l'Habilitation a diriger des recherches. Les themes abordes s'inscrivent dans la…

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