96 citations · 820 across the 46 of their papers we have counts for
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math-ph2009★ 14 cited
Quantum Geometry of 3-Dimensional Lattices and Tetrahedron Equation
Vladimir V. Bazhanov, Vladimir V. Mangazeev, Sergey M. Sergeev
We study geometric consistency relations between angles of 3-dimensional (3D) circular quadrilateral lattices -- lattices whose faces are planar quadrilaterals inscribable into a c…
nlin.SI2009★ 1 cited
Ground states of Heisenberg evolution operator in discrete three-dimensional space-time and quantum discrete BKP equations
Sergey M. Sergeev
In this paper we consider three-dimensional quantum q-oscillator field theory without spectral parameters. We construct an essentially big set of eigenstates of evolution with unit…
nlin.SI2009★ 6 cited
Classical integrable field theories in discrete 2+1 dimensional space-time
Sergey M. Sergeev
We study "circular net" (discrete orthogonal net) equations for angular data generalized by external spectral parameters. A criterion defining physical regimes of these Hamiltonian…