19 citations · 27 across the 5 of their papers we have counts for
6 papers
Ginzburg-Landau equations and their generalizations
Armen Sergeev
The Ginzburg-Landau equations were proposed in the superconductivity theory to describe mathematically the intermediate state of superconductors in which the normal conductivity is…
Quantum cryptography in the aspect of popularization of science and development of professional and technical qualifications
L. I. Stefanenko, A. G. Sergeev, Y. V. Kurochkin +1
The aura of mystery surrounding quantum physics makes it difficult to advance quantum technologies. Demystification requires methodological techniques that explain the basics of qu…
Seiberg-Witten theory as a complex version of Abelian Higgs model
Armen Sergeev
The adiabatic limit procedure associates with every solution of Abelian Higgs model in (2+1) dimensions a geodesic in the moduli space of static solutions. We show that the same pr…
Harmonic Spheres in the Hilbert-Schmidt Grassmannian
Iuliya Beloshapka, Armen G. Sergeev
We give the twistor description of harmonic maps of the Riemann sphere into the Hilbert-Schmidt Grassmannian. The study of such maps is motivated by the harmonic spheres conjecture…
The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space
Armen G. Sergeev
In the first part of the paper we describe the complex geometry of the universal Teichmüller space , which may be realized as an open subset in the complex Banach space…
Seiberg-Witten Monopole Equations on Noncommutative R^4
Alexander D. Popov, Armen G. Sergeev, Martin Wolf
It is well known that, due to vanishing theorems, there are no nontrivial finite action solutions to the Abelian Seiberg-Witten (SW) monopole equations on Euclidean four-dimensiona…