200 citations · 1.6k across the 65 of their papers we have counts for
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Quantum Moduli Spaces of Flat Connections
Anton Yu. Alekseev, Volker Schomerus
Using the formalism of discrete quantum group gauge theory, one can construct the quantum algebras of observables for the Hamiltonian Chern-Simons model. The resulting moduli algeb…
On nonuniversal conductance quantization in high-quality quantum wires
Anton Yu. Alekseev, Vadim V. Cheianov
We present a theoretical analysis of recent experimental results of Yacoby et al. on transport properties of high quality quantum wires. We suggest an explanation of observed devia…
Comparing conductance quantization in quantum wires and Quantum Hall systems
Anton Yu. Alekseev, Vadim V. Cheianov, Jürg Fröhlich
We propose a new calculation of the DC conductance of a 1-dimensional electron system described by the Luttinger model. Our approach is based on the ideas of Landauer and Büttiker…
The hyperbolic moduli space of flat connections and the isomorphism of symplectic multiplicity spaces
Anton Yu. Alekseev, Anton Z. Malkin
Let be a simple complex Lie group, $\alg{g}$ be its Lie algebra, be a maximal compact form of and $\alg{k}$ be a Lie algebra of . We denote by $X\rightarrow \overlin…
On Poisson actions of compact Lie groups on symplectic manifolds
Anton Yu. Alekseev
Let be a compact simple Poisson-Lie group equipped with a Poisson structure and be a symplectic manifold. Assume that carries a Poisson action of and t…