noncommutative geometry

His research interests are in analysis, index theory and noncommutative geometry.

This is the basis of the field of noncommutative geometry.

Some of its applications to noncommutative geometry are described in .

The above definition lies at the crossroads of two approaches to noncommutative geometry.

Supersymmetry can be reinterpreted in the language of noncommutative geometry and quantum groups.

The configuration space need not even be a functional space given certain features such as noncommutative geometry.

F has been connected to noncommutative geometry and to a possible proof of the Riemann hypothesis.

O' Connor has worked on noncommutative geometry and applications to quantum field theory, esp.

Schwarz worked on some examples in noncommutative geometry.

Generalizations to noncommutative geometry, e.g. the shape theory for operator algebras have been found.

This trend started in the 1980s with the development of noncommutative geometry and with the discovery of quantum groups.

He fields of interest are noncommutative geometry, ergodic theory, Dirichlet problem, non-commutative residue.

In the 1980s, mathematicians, most notably Alain Connes, developed noncommutative geometry.

He there began his work and published articles in the field of Extra dimensions, Noncommutative geometry, and the string theory.

However, supergeometry is not particular noncommutative geometry because of a different definition of a graded derivation.

This characterization is one of the motivations for the noncommutative topology and noncommutative geometry programs.

The geometry of a compact matrix quantum group is a special case of a noncommutative geometry.

Compare with noncommutative geometry and Gelfand duality.

This work was an important precursor to noncommutative geometry as later developed by Alain Connes among others.

Noncommutative geometry, quantum fields and motives.

Noncommutative geometry.

Other approaches to this problem include Loop quantum gravity, Noncommutative geometry, and Causal set theory.

In noncommutative geometry, a Fredholm module is a mathematical structure used to quantize the differential calculus.

An elementary introduction to noncommutative geometry which uses Hochschild homology to generalize differential forms).

Connes, A.: Noncommutative geometry and reality.