9 citations · 14 across the 2 of their papers we have counts for
4 papers
Hamiltonian minimal Lagrangian submanifolds in toric varieties
Andrey Mironov, Taras Panov
Hamiltonian minimality (H-minimality) for Lagrangian submanifolds is a symplectic analogue of Riemannian minimality. A Lagrangian submanifold is called H-minimal if the variations…
Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings
Andrey Mironov, Taras Panov
We study the topology of Hamiltonian-minimal Lagrangian submanifolds N in C^m constructed from intersections of real quadrics in a work of the first author. This construction is li…
Discrete analogues of the Dixmier operators
A. E. Mironov
We construct discrete analogues of the Dixmier operators, that is, commuting difference operators corresponding to a spectral curve of genus 1 whose coefficients are polynomials of…
On some algebraic examples of Frobenius manifolds
A. E. Mironov, I. A. Taimanov
We construct some explicit quasihomogeneous algebraic solutions to the associativity (WDVV) equations by using analytical methods of the finite gap integration theory. These soluti…