17 citations · 41 across the 4 of their papers we have counts for
5 papers
Spectra of Sol-manifolds: arithmetic and quantum monodromy
A. V. Bolsinov, H. R. Dullin, A. P. Veselov
The spectral problem of three-dimensional manifolds M_A admitting Sol-geometry in Thurston's sense is investigated. Topologically M_A are torus bundles over a circle with a unimodu…
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters
M. Kasatani, T. Miwa, A. N. Sergeev +1
We consider the coincident root loci consisting of the polynomials with at least two double roots andpresent a linear basis of the corresponding ideal in the algebra of symmetric p…
Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials
A. N. Sergeev, A. P. Veselov
It is shown that the deformed Calogero-Moser-Sutherland (CMS) operators can be described as the restrictions on certain affine subvarieties (called generalised discriminants) of th…
Action of Coxeter groups on m-harmonic polynomials and KZ equations
Giovanni Felder, Alexander P. Veselov
The Matsuo-Cherednik correspondence is an isomorphism from solutions of Knizhnik-Zamolodchikov equations to eigenfunctions of generalized Calogero-Moser systems associated to Coxet…
Exactly solvable two-dimensional Schrodinger operators and Laplace transformations
S. P. Novikov, A. P. Veselov
Different cases of sequences of the Laplace Transformations for the 2D Schrodinger operator in the periodic magnetic field and electric potential are considered. They lead to the e…