112 citations · 225 across the 39 of their papers we have counts for
6 papers · 1 filter
Tau functions, infinite Grassmannians and lattice recurrences
S. Arthamonov, J. Harnad, J. Hurtubise
The addition formulae for KP -functions, when evaluated at lattice points in the KP flow group orbits in the infinite dimensional Sato-Segal-Wilson Grassmannian, give infinite p…
Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations
S. Arthamonov, J. Harnad, J. Hurtubise
This work concerns the relation between the geometry of Lagrangian Grassmannians and the CKP integrable hierarchy. The Lagrange map from the Lagrangian Grassmannian of maximal isot…
Isotropic Grassmannians, Plücker and Cartan maps
F. Balogh, J. Harnad, J. Hurtubise
This work is motivated by the relation between the KP and BKP integrable hierarchies, whose -functions may be viewed as sections of dual determinantal and Pfaffian line bundles…
Monopoles on Sasakian Three-folds
Indranil Biswas, Jacques Hurtubise
We consider monopoles with singularities of Dirac type on quasiregular Sasakian three-folds fibering over a compact Riemann surface , for example the Hopf fibration $S^3\longrig…
On the Geometry of Isomonodromic Deformations
Jacques Hurtubise
This note examines the geometry behind the Hamiltonian structure of isomonodromy deformations of connections on vector bundles over Riemann surfaces. The main point is that one sho…
Multi-Hamiltonian structures for r-matrix systems
J. Harnad, J. C. Hurtubise
For the rational, elliptic and trigonometric r-matrices, we exhibit the links between three "levels" of Poisson spaces: (a) Some finite-dimensional spaces of matrix-valued holomorp…