### Some articles on *noncommutative*:

**Noncommutative**Quantum Field Theory - History and Motivation

... mathematicians, most notably Alain Connes, developed

**noncommutative**geometry ... things, this work generalized the notion of differential structure to a

**noncommutative**setting ... led to an operator algebraic description of

**noncommutative**space-times, and the development of a Yang-Mills theory on a

**noncommutative**torus ...

JLO Cocycle

... In

... In

**noncommutative**geometry, the JLO cocycle is a cocycle (and thus defines a cohomology class) in entire cyclic cohomology ... In**noncommutative**geometry, the concept of a manifold is replaced by a**noncommutative**algebra of "functions" on the putative**noncommutative**space ... information about the topology of that**noncommutative**space, very much as the deRham cohomology contains the information about the topology of a conventional manifold ...ADHM Construction - Generalizations -

... In a

**Noncommutative**Instantons... In a

**noncommutative**gauge theory, the ADHM construction is identical but the moment map is set equal to the self-dual projection of the noncommutativity ... The**noncommutative**instantons were discovered by Nikita Nekrasov and Albert Schwarz in 1998 ...Skew Lattice - Historical Background

... For over 60 years,

... For over 60 years,

**noncommutative**variations of lattices have been studied with differing motivations ... of lattice theory for others it was a search for**noncommutative**forms of logic and Boolean algebra and for others it has been the behavior of idempotents in rings ... A**noncommutative**lattice, generally speaking, is an algebra where and are associative, idempotent binary operations connected by absorption identities ...H-vector - Flag

... of its order complex Δ(P) The flag h-vector of P can be displayed via a polynomial in

*h*-vector and*cd*-index... of its order complex Δ(P) The flag h-vector of P can be displayed via a polynomial in

**noncommutative**variables a and b ... define the corresponding monomial in a and b, Then the**noncommutative**generating function for the flag h-vector of P is defined by From the relation between αP(S) and βP(S ... Fine noted an elegant way to state these relations there exists a**noncommutative**polynomial ΦP(c,d), called the cd-index of P, such that Stanley proved that all coefficients of ...Main Site Subjects

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