Generalized symmetry in noncommutative (complex) geometry

被引：1

作者：

Bhattacharjee, Suvrajit ^{[1
]}

Biswas, Indranil ^{[2
]}

Goswami, Debashish ^{[1
]}

机构：

[1] Indian Stat Inst, Stat Math Unit, 203 BT Rd, Kolkata 700108, India

[2] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Mumbai 400005, Maharashtra, India

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 166卷

关键词：

Noncommutative complex structures; Hopf algebroids; Foliations; Orbifolds; SPECTRAL TRIPLES; QUANTUM; GROUPOIDS; CATEGORIES; COMPACT; MANIFOLDS; FOLIATION; ALGEBRAS; OPERATOR; DUALITY;

D O I：

10.1016/j.geomphys.2021.104267

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 [12]. We present transverse complex and Kahler structures as examples and discuss several other examples. Relation with past literature is described. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：30

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