# Mirror duality and noncommutative tori

@article{Kim2007MirrorDA, title={Mirror duality and noncommutative tori}, author={Eunsang Kim and Hoil Kim}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2007}, volume={42}, pages={015206} }

In this paper, we study a mirror duality on a generalized complex torus and a noncommutative complex torus. First, we derive a symplectic version of Riemann conditions using mirror duality on ordinary complex tori. Based on this, we will find a mirror correspondence on generalized complex tori and generalize the mirror duality on complex tori to the case of noncommutative complex tori.

## 5 Citations

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There is a mirror symmetry between symplectic manifolds and complex manifolds. In this paper, we describe the super version of mirror symmetry. One side is the super symplectic torus and the other…

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. This article is a survey on homologlcal mirror symmetry (HMS) of $non \infty mmutative$ tori which includes updated statements obtained by combining some results appeared so far. We include brief…

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