Fourier-Mukai Transform and Adiabatic Curvature of Spectral Bundles for Landau Hamiltonians on Riemann Surfaces

@article{Prieto2006FourierMukaiTA,
  title={Fourier-Mukai Transform and Adiabatic Curvature of Spectral Bundles for Landau Hamiltonians on Riemann Surfaces},
  author={Carlos Prieto},
  journal={Communications in Mathematical Physics},
  year={2006},
  volume={265},
  pages={373-396}
}
  • C. Prieto
  • Published 11 March 2006
  • Mathematics
  • Communications in Mathematical Physics
We study the family of Landau Hamiltonians on a Riemann surface S by means of a Nahm transform and an integral functor related to the Fourier-Mukai transform associated to its jacobian variety J(S). This approach allows us to explicitly determine the spectral bundles associated to the holomorphic Landau levels. As a first main result we prove that these spectral bundles are holomorphic stable bundles with respect to the canonical polarization of J(S) determined by the theta divisor .The… 
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