@article {2013,
	title = {Noncommutative circle bundles and new Dirac operators},
	journal = {Communications in Mathematical Physics. Volume 318, Issue 1, 2013, Pages 111-130},
	number = {arXiv:1012.3055v2;},
	year = {2013},
	note = {This article is composed of 25 pages and is recorded in PDF format},
	publisher = {Springer},
	abstract = {We study spectral triples over noncommutative principal U(1) bundles. Basing
on the classical situation and the abstract algebraic approach, we propose an
operatorial definition for a connection and compatibility between the
connection and the Dirac operator on the total space and on the base space of
the bundle. We analyze in details the example of the noncommutative three-torus
viewed as a U(1) bundle over the noncommutative two-torus and find all
connections compatible with an admissible Dirac operator. Conversely, we find a
family of new Dirac operators on the noncommutative tori, which arise from the
base-space Dirac operator and a suitable connection.},
	keywords = {Quantum principal bundles},
	doi = {10.1007/s00220-012-1550-8},
	url = {http://hdl.handle.net/1963/7384},
	author = {Ludwik Dabrowski and Andrzej Sitarz}
}
@article {2008,
	title = {The Noncommutative Geometry of the Quantum Projective Plane},
	journal = {Rev. Math. Phys. 20 (2008) 979-1006},
	number = {SISSA;100/2007/MP},
	year = {2008},
	abstract = {We study the spectral geometry of the quantum projective plane CP^2_q. In particular, we construct a Dirac operator which gives a 0^+ summable triple, equivariant under U_q(su(3)).},
	doi = {10.1142/S0129055X08003493},
	url = {http://hdl.handle.net/1963/2548},
	author = {Francesco D{\textquoteright}Andrea and Ludwik Dabrowski and Giovanni Landi}
}
@article {2003,
	title = {Non-linear sigma-models in noncommutative geometry: fields with values in finite spaces},
	journal = {Mod. Phys. Lett. A 18 (2003) 2371-2379},
	number = {arXiv.org;math/0309143v1},
	year = {2003},
	publisher = {World Scientific},
	abstract = {We study sigma-models on noncommutative spaces, notably on noncommutative tori. We construct instanton solutions carrying a nontrivial topological charge q and satisfying a Belavin-Polyakov bound. The moduli space of these instantons is conjectured to consists of an ordinary torus endowed with a complex structure times a projective space $CP^{q-1}$.},
	doi = {10.1142/S0217732303012593},
	url = {http://hdl.handle.net/1963/3215},
	author = {Ludwik Dabrowski and Thomas Krajewski and Giovanni Landi}
}
