Invariants of the Z 2 orbifolds of the Podleś two spheres

S Quddus - Journal of Noncommutative Geometry, 2019 - ems.press
There are two Z2 orbifolds of the Podleś quantum two-sphere, one being the quantum two-
disc Dq and other the quantum two-dimensional real projective space RP2 q. In this article …

Non-commutative Poisson Structures on quantum torus orbifolds

S Quddus - arXiv preprint arXiv:2006.00495, 2020 - arxiv.org
We study the Hochschild cohomology and the Gerstenhaber algebra structure on the
algebraic non-commutative torus/quantum torus orbifolds resulting by the action of finite …

Equivariant Cartan homotopy formulae for the crossed product of algebra

S Quddus - Rocky Mountain Journal of Mathematics, 2021 - projecteuclid.org
The paracyclic modules were used in [6] and [2] to understand the cyclic homology of the
crossed product algebras. It is an analogue of the Eilenberg–Zilber theorem for biparacyclic …

Noncommutatative algebraic torus and its algebraic properties.

S Quddus - impan.pl
In few articles by Yan Soibelman, the non-commutative algebraic tori were viewed as the
points of compactification of the moduli space of elliptic curves. This is regarded as one of …