Generalized symmetry in noncommutative (complex) geometry
Quantum Algebra
2021-05-11 v2
Abstract
We introduce Hopf algebroid covariance on Woronowicz's differential calculus. Using it, we develop quite a general framework of noncommutative complex geometry that subsumes the one in [2]. We present transverse complex and K\"ahler structures as examples and discuss several other examples. Relation with past literature is described.
Cite
@article{arxiv.1907.04673,
title = {Generalized symmetry in noncommutative (complex) geometry},
author = {Suvrajit Bhattacharjee and Indranil Biswas and Debashish Goswami},
journal= {arXiv preprint arXiv:1907.04673},
year = {2021}
}
Comments
Revised version following the referee's suggestions. To appear in Journal of Geometry and Physics