Non‐commutative manifolds, the free square root and symmetric functions in two non‐commuting variables
Non‐commutative manifolds, the free square root and symmetric functions in two non‐commuting variables
The richly developed theory of complex manifolds plays important roles in our understanding of holomorphic functions in several complex variables. It is natural to consider manifolds that will play similar roles in the theory of holomorphic functions in several non-commuting variables. In this paper we introduce the class of nc-manifolds, …