Harmonic maps and shift-invariant subspaces (Q2659848)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic maps and shift-invariant subspaces |
scientific article |
Statements
Harmonic maps and shift-invariant subspaces (English)
0 references
29 March 2021
0 references
In this paper the authors derive new and powerful criteria for finiteness of the uniton number for a harmonic map from a Riemann surface to the unitary group \(U(n)\). These use the Grassmannian model where harmonic maps are represented by families of shift-invariant subspaces of \(L^2(S^1,\mathbb{C}^n)\).
0 references
harmonic maps
0 references
Riemann surfaces
0 references
shift-invariant subspaces
0 references
