19 citations · 39 across the 12 of their papers we have counts for
13 papers
The Ekeland--Hofer--Zehnder Capacity of rotated -Ellipsoid
Vardan Oganesyan
We find explicit formulas for the EHZ and cylindrical capacities of rotated -ellipsoids. In addition, we provide an algorithm to estimate the EHZ capacity.
Noncommutativity of monotone Lagrangian cobordisms
Vardan Oganesyan
We construct a monotone spin Lagrangian cobordism from L to (L_1, L_2) such that there is no monotone spin Lagrangian cobordism from L to (L_2, L_1), where L, L_1, L_2 are Lagrangi…
The first step towards symplectic homotopy theory
Vardan Oganesyan
We consider two categories related to symplectic manifolds: 1. Objects are symplectic manifolds and morphisms are symplectic embeddings. 2. Objects are symplectic manifolds endowed…
Zoo of monotone Lagrangians in
Vardan Oganesyan
Let be a polytope of dimension with facets. Assume that is Delzant and Fano. We associate a monotone embedded Lagrangian $L \subset \mathbb{C}P…
Non-isotopic monotone Lagrangian submanifolds of
Vardan Oganesyan
Let be a Delzant polytope in with facets. We associate a closed Lagrangian submanifold of to each Delzant polytope. We prove that is…
Products and connected sums of spheres as monotone Lagrangian submanifolds
Vardan Oganesyan, Yuhan Sun
We obtain new restrictions on Maslov classes of monotone Lagrangian submanifolds of . We also construct families of new examples of monotone Lagrangian submanifolds,…
Monotone Lagrangian submanifolds of and toric topology
Vardan Oganesyan
Mironov, Panov and Kotelskiy studied Hamiltonian-minimal Lagrangians inside . They associated a closed embedded Lagrangian to each Delzant polytope . In this p…
Matrix commuting differential operators of rank 2
Vardan Oganesyan
In this paper we propose a very effective method for constructing matrix commuting differential operators of rank 2 and vector rank (2,2). We find new matrix commuting differential…
Commuting differential operators of rank 2 with rational coefficients
Vardan Oganesyan
In this paper we find new self-adjoint commuting operators of rank 2 with rational coefficients and prove that any elliptic and hyperelliptic curves of genus 2 are spectral curves…
AKNS hierarchy and finite-gap Schrodinger potentials
Vardan Oganesyan
In this paper we study AKNS hierarchy. We find explicit necessary conditions for functions and to be solution of some equation of AKNS hierarchy. Then we construct finite-g…
Explicit characterization of some commuting differential operators of rank 2
Vardan Oganesyan
In this paper we consider differential opeartor L=d^4_x + u(x). We find the commutativity condition for operator L with a differential operator M of order 4g+2, where L and M are o…
Common eigenfunctions of commuting differential operators of rank 2
Vardan Oganesyan
In this paper we find coomon eigenfunctions of commuting differential operators of rank 2 with polynomial coefficients in some partial cases.
Commuting differential operators of rank 2 with polynomial coefficients
Vardan Oganesyan
In this paper we study self-adjoint commuting ordinary differential operators with polynomial coefficients. These operators define commutative subalgebras of the first Weyl algebra…