Complex structures on Three-point space
Quantum Algebra
2024-05-14 v1
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.
Cite
@article{arxiv.2405.07866,
title = {Complex structures on Three-point space},
author = {Suvrajit Bhattacharjee and Debashish Goswami},
journal= {arXiv preprint arXiv:2405.07866},
year = {2024}
}
Comments
This is an old article written in 2017 and it appeared in print only recently. It forms a short section of the first author's thesis