Abstract
In this paper a multipoint version of the linearization of the KP-hierarchy is described. Solutions of this system in the form of wave functions are constructed starting from a suitable Grassmann manifold and a group of commuting flows corresponding to the configuration of n points in C. The failure of equivariance at lifting these flows to the determinant bundle over this Grassmann manifold is measured by the determinants of certain Fredholm operators, the so-called τ-functions. In the case of two points an explicit relation between these τ-functions and the wave functions is derived.
| Original language | English |
|---|---|
| Pages (from-to) | 367-383 |
| Journal | Indagationes mathematicae |
| Volume | 14 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 2003 |
Keywords
- Multipoint KP-hierarchy
- Grassmann manifold
- τ-functions
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Cite this
Helminck, G. F. (2003). τ-Functions for a two-point version of the KP-hierarchy. Indagationes mathematicae, 14(3-4), 367-383. https://doi.org/10.1016/S0019-3577(03)90052-8