The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Journal of Noncommutative Geometry

Full-Text PDF (247 KB) | Metadata | Table of Contents | JNCG summary
Volume 13, Issue 1, 2019, pp. 257–267
DOI: 10.4171/JNCG/320

Published online: 2018-12-17

Invariants of the $\mathbb{Z}_2$ orbifolds of the Podleś two spheres

Safdar Quddus[1]

(1) Indian Institute of Science, Bengaluru, India

There are two $\mathbb Z_2$ orbifolds of the Podleś quantum two-sphere, one being the quantum two-disc $D_q$ and other the quantum two-dimensional real projective space $\mathbb RP^2_q$. In this article we calculate the Hochschild and cyclic homology and cohomology groups of these orbifolds and also the corresponding Chern–Connes indices.

Keywords: Podleś sphere, Chern–Connes index, homology, non-commutative spheres

Quddus Safdar: Invariants of the $\mathbb{Z}_2$ orbifolds of the Podleś two spheres. J. Noncommut. Geom. 13 (2019), 257-267. doi: 10.4171/JNCG/320