@article {2014,
	title = {Dirac operators on noncommutative principal circle bundles},
	number = {International Journal of Geometric Methods in Modern Physics;volume 11; issue 1; article number 1450012;},
	year = {2014},
	publisher = {World Scientific Publishing},
	abstract = {We study spectral triples over noncommutative principal U(1)-bundles of arbitrary dimension and a compatibility condition between the connection and the Dirac operator on the total space and on the base space of the bundle. Examples of low-dimensional noncommutative tori are analyzed in more detail and all connections found that are compatible with an admissible Dirac operator. Conversely, a family of new Dirac operators on the noncommutative tori, which arise from the base-space Dirac operator and a suitable connection is exhibited. These examples are extended to the theta-deformed principal U(1)-bundle S 3 θ {\textrightarrow} S2.},
	doi = {10.1142/S0219887814500121},
	url = {http://urania.sissa.it/xmlui/handle/1963/35125},
	author = {Andrzej Sitarz and Alessandro Zucca and Ludwik Dabrowski}
}
@article {2005,
	title = {The Dirac operator on SU_q(2)},
	journal = {Commun. Math. Phys. 259 (2005) 729-759},
	number = {arXiv:math/0411609;},
	year = {2005},
	note = {v2: minor changes},
	publisher = {Springer},
	abstract = {We construct a 3^+ summable spectral triple (A(SU_q(2)),H,D) over the quantum group SU_q(2) which is equivariant with respect to a left and a right action of U_q(su(2)). The geometry is isospectral to the classical case since the
spectrum of the operator D is the same as that of the usual Dirac operator on
the 3-dimensional round sphere. The presence of an equivariant real structure J
demands a modification in the axiomatic framework of spectral geometry, whereby the commutant and first-order properties need be satisfied only modulo infinitesimals of arbitrary high order.},
	doi = {10.1007/s00220-005-1383-9},
	url = {http://hdl.handle.net/1963/4425},
	author = {Ludwik Dabrowski and Giovanni Landi and Andrzej Sitarz and Walter van Suijlekom and Joseph C. Varilly}
}
@article {2001,
	title = {Dirac operator on the standard Podles quantum sphere},
	journal = {Noncommutative geometry and quantum groups (Warsaw 2001),49,Banach Center Publ., 61, Polish Acad.Sci., Warsaw,2003},
	number = {SISSA;98/2002/FM},
	year = {2001},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/1668},
	author = {Ludwik Dabrowski and Andrzej Sitarz}
}
