paper

Generalized symmetry in noncommutative (complex) geometry

arXiv:1907.04673

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 Kähler structures as examples and discuss several other examples. Relation with past literature is described.

Revised version following the referee's suggestions. To appear in Journal of Geometry and Physics