Quantum de Rham complex on ${\mathbb A}_{h}^{1|2}$

Abstract

Introducing $h$- and $h'$-deformations of ${\mathbb Z}_2$-graded (1+2)- and (2+1)-spaces, denoted by ${\mathbb A}_h^{1|2}$ and ${\mathbb A}_{h'}^{2|1}$, a two-parameter first order differential calculus, de Rham complex, on ${\mathbb A}_{h}^{1|2}$ explicitly constructed.