Noncommutative geometry

Noncommutative Two Torus

• 틀:수학노트

encyclopedia

• http://en.wikipedia.org/wiki/Noncommutative_torus

expositions

• 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

articles

• 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.