Hitchin Hamiltonians in genus 2
Viktoria Heu, Frank Loray
TL;DR
This paper explicitly derives the Hitchin Hamiltonian system for rank two vector bundles with trivial determinant over a genus two curve, providing concrete formulas for this integrable system.
Contribution
It offers the first explicit expression of the Hitchin Hamiltonian system in genus two for rank two bundles with trivial determinant.
Findings
Explicit formulas for Hitchin Hamiltonians in genus two.
Enhanced understanding of integrable systems in algebraic geometry.
Potential applications to moduli space analysis.
Abstract
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.
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Taxonomy
TopicsGeometry and complex manifolds · Nonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology