Lax Equation on the Uhlenbeck Manifold
DOI:
https://doi.org/10.5890/DNC.2020.12.003Abstract
We give an analytic and topological description of the Uhlenbeck manifold, that is a manifold of triples (a symmetric operator, an eigenvector, an eigenvalue), for the finite-dimensional symmetric matrices and the family of stationary periodic Schrodinger operators. Then, we describe an uplifting of Lax vector fields to these manifolds.References
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