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arXiv · 2405.07866

Complex structures on Three-point space

Suvrajit Bhattacharjee·Debashish Goswami
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Abstract

We discuss notions of almost complex, complex and K\"{a}hler structures in the realm of non-commutative geometry and investigate them for a class of finite dimensional spectral triples on the three-point space. We classify all the almost complex structures on this non-commutative manifold, which also turn out to be complex structures, but none of them are K\"{a}hler in our sense.

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Suvrajit Bhattacharjee, Debashish Goswami. 2024-05-13. Complex structures on Three-point space. https://doi.org/10.1142/9789811275999_0006

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