131 citations · 188 across the 2 of their papers we have counts for
2 papers
math.QA2003★ 57 cited
Moduli space and structure of noncommutative 3-spheres
Alain Connes, Michel Dubois-Violette
We analyse the moduli space and the structure of noncommutative 3-spheres. We develop the notion of central quadratic form for quadratic algebras, and prove a general algebraic res…
math.QA2001★ 131 cited
Noncommutative finite-dimensional manifolds. I. Spherical manifolds and related examples
Alain Connes, Michel Dubois-Violette
We exhibit large classes of examples of noncommutative finite-dimensional manifolds which are (non-formal) deformations of classical manifolds. The main result of this paper is a c…