An analytic description of the vector constrained KP hierarchy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, Latex2e

Scientific paper

10.1007/s002200050341

In this paper we give a geometric description in terms of the Grassmann
manifold of Segal and Wilson, of the reduction of the KP hierarchy known as the
vector $k$-constrained KP hierarchy. We also show in a geometric way that these
hierarchies are equivalent to Krichever's general rational reductions of the KP
hierarchy.

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