195 citations · 496 across the 30 of their papers we have counts for
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Matrix integrals and the geometry of spinors
Johan van de Leur
We obtain the collection of symmetric and symplectic matrix integrals and the collection of Pfaffian tau-functions, recently described by Peng and Adler and van Moerbeke, as specif…
The construction of Frobenius manifolds from KP tau-functions
J. W. van de Leur, R. Martini
Frobenius manifolds (solutions of WDVV equations) in canonical coordinates are determined by the system of Darboux-Egoroff equations. This system of partial differential equations…
The geometry of spinors and the multicomponent BKP and DKP hierarchies
Victor Kac, Johan van de Leur
We develop a formalism of multicomponent BKP hierarchies using elementary geometry of spinors. The multicomponent KP and the modified KP hierarchy (hence all their reductions like…
An analytic description of the vector constrained KP hierarchy
G. F. Helminck, J. W. van de Leur
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 -constrained KP hi…