@article{18074,
  abstract     = {The Aharonov–Casher theorem is a result on the number of the so-called zero modes of a system described by the magnetic Pauli operator in R2. In this paper we address the same question for the Dirac operator on a flat two-dimensional manifold with boundary and Atiyah–Patodi–Singer boundary condition. More concretely we are interested in the plane and a disc with a finite number of circular holes cut out. We consider a smooth compactly supported magnetic field on the manifold and an arbitrary magnetic field inside the holes.},
  author       = {Fialova, Marie},
  issn         = {1424-0637},
  journal      = {Annales Henri Poincare},
  pages        = {2859--2900},
  publisher    = {Springer Nature},
  title        = {{Aharonov–Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition}},
  doi          = {10.1007/s00023-024-01482-7},
  volume       = {26},
  year         = {2025},
}

@article{19705,
  abstract     = {A maximal realization of the two-dimensional Pauli operator, subject to Aharonov–Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the Pauli operator are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric (not necessarily self-adjoint) perturbations, are derived.},
  author       = {Fialova, Marie and Krejčiřík, David},
  issn         = {1793-6659},
  journal      = {Reviews in Mathematical Physics},
  number       = {6},
  publisher    = {World Scientific Publishing},
  title        = {{Virtual bound states of the Pauli operator with an Aharonov–Bohm potential}},
  doi          = {10.1142/S0129055X25500114},
  volume       = {37},
  year         = {2025},
}