@book{580547ee849c4793920945b2b7933802,

title = "$\tau$-Functions for a two-point version of the $KP$-hierarchy",

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 $\mathbb{C}$. 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 $\tau$-functions. In the case of two points an explicit relation between these $\tau$-functions and the wave functions is derived.",

keywords = "MSC-35Q53, MSC-35Q58, MSC-22E65, METIS-211955, MSC-58B25, IR-65856, EWI-3491, MSC-22E70",

author = "G.F. Helminck",

note = "Imported from MEMORANDA",

year = "2003",

language = "Undefined",

series = "Memorandum",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1671",

}