Noncommutative geometry

Noncommutative Two Torus

Petitot, Jean. ‘Noncommutative Geometry and Physics’. arXiv:1505.00132 [math-Ph], 1 May 2015. http://arxiv.org/abs/1505.00132.
Nikolaev, Igor. ‘Notes on Noncommutative Geometry’. arXiv:1503.05411 [math], 17 March 2015. http://arxiv.org/abs/1503.05411.
Franco, Nicolas, and Michał Eckstein. “Noncommutative Geometry, Lorentzian Structures and Causality.” arXiv:1409.1480 [gr-Qc, Physics:math-Ph], September 4, 2014. http://arxiv.org/abs/1409.1480.
Zilber, Boris. "The noncommutative torus and Dirac calculus." preprint (2010). http://people.maths.ox.ac.uk/~zilber/dirac.pdf
http://www.math.niu.edu/~beachy/rings/noncommutative_geometry/
Review of Noncommutative Geometry by Alain Connes by Vaughan Jones and Henri Moscovici
Review of Noncommutative Geometry by Alain Connes by Andrew Lesniewski

Demangos, L., and T. M. Gendron. “Quantum J-Invariant in Positive Characteristic.” arXiv:1512.03780 [math], December 8, 2015. http://arxiv.org/abs/1512.03780.
Connes, Alain, and Caterina Consani. ‘Geometry of the Arithmetic Site’. arXiv:1502.05580 [math], 19 February 2015. http://arxiv.org/abs/1502.05580.
Yashinski, Allan. “The Gauss-Manin Connection and Noncommutative Tori.” arXiv:1210.4531 [math], October 16, 2012. http://arxiv.org/abs/1210.4531.
Chamseddine, Ali H., Alain Connes, and Viatcheslav Mukhanov. ‘Geometry and the Quantum: Basics’. arXiv:1411.0977 [gr-Qc, Physics:hep-Th], 4 November 2014. http://arxiv.org/abs/1411.0977.
Fathi, Ali, Asghar Ghorbanpour, and Masoud Khalkhali. “The Curvature of the Determinant Line Bundle on the Noncommutative Two Torus.” arXiv:1410.0475 [math], October 2, 2014. http://arxiv.org/abs/1410.0475.
Connes, Alain, and Paula Tretkoff. “The Gauss-Bonnet Theorem for the Noncommutative Two Torus.” arXiv:0910.0188 [math], October 1, 2009. http://arxiv.org/abs/0910.0188.