In this work, we present observable consequences of a parity-violating odd-viscosity term in
incompressible 2+ 1D hydrodynamics. For boundary conditions depending on the velocity …

We consider the integer QH state on Riemann surfaces with conical singularities, with the
main objective of detecting the effect of the gravitational anomaly directly from the form of the …

We present a general formula for the topological part of the effective action for integer
quantum Hall systems in higher dimensions, including fluctuations of the gauge field and …

Motivated by a problem in quasiconformal mapping, we introduce a problem in complex
analysis, with its roots in the mathematical physics of the Bose-Einstein condensates in …

The formulation of geometric quantization contains several axioms and assumptions. We
show that for real polarizations we can generalize the standard geometric quantization …

An interacting two-dimensional electron gas in a strong magnetic field can form nontrivial
topologically ordered gapped states, the fractional quantum Hall (FQH) states. The …