@article {han2020gauge,
	title = {On the gauge group of Galois objects},
	year = {2020},
	month = {03/2020},
	abstract = {We study the Ehresmann--Schauenburg bialgebroid of a noncommutative principal bundle as a quantization of the classical gauge groupoid of a principal bundle. When the base algebra is in the centre of the total space algebra, the gauge group of the noncommutative principal bundle is isomorphic to the group of bisections of the bialgebroid. In particular we consider Galois objects (non-trivial noncommutative bundles over a point in a sense) for which the bialgebroid is a Hopf algebra. For these we give a crossed module structure for the bisections and the automorphisms of the bialgebroid. Examples include Galois objects of group Hopf algebras and of Taft algebras.},
	url = {https://arxiv.org/abs/2002.06097},
	author = {Xiao Han and Giovanni Landi}
}
@article {arici2016gysin,
	title = {The Gysin sequence for quantum lens spaces},
	journal = {Journal of Noncommutative Geometry},
	volume = {9},
	number = {4},
	year = {2016},
	pages = {1077{\textendash}1111},
	abstract = {<p>We define quantum lens spaces as {\textquoteleft}direct sums of line bundles{\textquoteright} and exhibit them as {\textquoteleft}total spaces{\textquoteright} of certain principal bundles over quantum projective spaces. For each of these quantum lens spaces we construct an analogue of the classical Gysin sequence in K-theory. We use the sequence to compute the K-theory of the quantum lens spaces, in particular to give explicit geometric representatives of their K-theory classes. These representatives are interpreted as {\textquoteleft}line bundles{\textquoteright} over quantum lens spaces and generically define {\textquoteleft}torsion classes{\textquoteright}. We work out explicit examples of these classes.</p>},
	doi = {10.4171/JNCG/216},
	author = {Francesca Arici and Simon Brain and Giovanni Landi}
}
@article {2009,
	title = {Gauged Laplacians on quantum Hopf bundles},
	journal = {Comm. Math. Phys. 287 (2009) 179-209},
	number = {arXiv.org;0801.3376v2},
	year = {2009},
	publisher = {Springer},
	abstract = {We study gauged Laplacian operators on line bundles on a quantum 2-dimensional sphere. Symmetry under the (co)-action of a quantum group allows for their complete diagonalization. These operators describe {\textquoteleft}excitations moving on the quantum sphere\\\' in the field of a magnetic monopole. The energies are not invariant under the exchange monopole/antimonopole, that is under inverting the direction of the magnetic field. There are potential applications to models of quantum Hall effect.},
	doi = {10.1007/s00220-008-0672-5},
	url = {http://hdl.handle.net/1963/3540},
	author = {Giovanni Landi and Cesare Reina and Alessandro Zampini}
}
@article {1987,
	title = {Graded Chern-Simons terms},
	journal = {Phys. Lett. B  192  (1987),  no. 1-2, 81-88.},
	number = {SISSA;27/87/FM},
	year = {1987},
	publisher = {SISSA Library},
	doi = {10.1016/0370-2693(87)91146-4},
	url = {http://hdl.handle.net/1963/508},
	author = {Giovanni Landi and Giuseppe Marmo}
}
