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Generalized symmetry in noncommutative (complex) geometry

2019/07/10 by Suvrajit Bhattacharjee, Indranil Biswas, Bhattacharjee, Suvrajit +3
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1907.04673

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

arxiv created 2021/05/08 · arxiv updated 2021/05/11

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.

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