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math.OA2012★ 3 cited
Chern-Simons theory for the noncommutative 3-torus
Oliver Pfante
We study the Chern-Simons action, which was defined for noncommutative spaces in general by the author, for the noncommutative 3-torus, the universal C*-algebra generated by 3 unit…
math.OA2012★ 2 cited
A Chern-Simons action for noncommutative spaces in general with the example SU_q(2)
Oliver Pfante
Witten constructed a topological quantum field theory with the Chern-Simons action as Lagrangian. We define a Chern-Simons action for 3-dimensional spectral triples. We prove gauge…
math.OA2012
A Chern-Simons action for noncommutative spaces
Oliver Pfante
The content of this paper is completely contained in arXiv:1204.0418v2: "A Chern-Simons action for noncommutative spaces in general with the example SU_q(2)"