440 citations · 4.5k across the 106 of their papers we have counts for
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hep-th2002★ 12 cited
Noncommuting Gauge Fields as a Lagrange Fluid
R. Jackiw, S. -Y. Pi, A. P. Polychronakos
The Lagrange description of an ideal fluid gives rise in a natural way to a gauge potential and a Poisson structure that are classical precursors of analogous noncommuting entities…
hep-th2002★ 1 cited
Seiberg-Witten map and topology
Alexios P. Polychronakos
The mapping of topologically nontrivial gauge transformations in noncommutative gauge theory to corresponding commutative ones is investigated via the operator form of the Seiberg-…
hep-th2002★ 51 cited
Quantum mechanics on noncommutative Riemann surfaces
Bogdan Morariu, Alexios P. Polychronakos
We study the quantum mechanics of a charged particle on a constant curvature noncommutative Riemann surface in the presence of a constant magnetic field. We formulate the problem b…