Explore: Noncommutative Differential Geometry

Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces

known for his contributions to the study of operator algebras and noncommutative geometry. He was a professor at the Collège de France, Institut des Hautes

Model (best known as Spectral Standard Model), is a model based on noncommutative geometry that unifies a modified form of general relativity with the Standard

In quantum geometry or noncommutative geometry a quantum differential calculus or noncommutative differential structure on an algebra A {\displaystyle

Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric

manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics. For

geometry Noncommutative algebraic geometry Noncommutative geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian

theory that is an outgrowth of noncommutative geometry and index theory in which the coordinate functions are noncommutative. One commonly studied version

operators became protagonists in Kasparov's theory and Connes's noncommutative differential geometry. 1971: Isadore Singer proposes a comprehensive program for

right Ore domain. Derived algebraic geometry Noncommutative geometry Noncommutative algebraic geometry Noncommutative harmonic analysis Representation theory