In mathematics a cocycle is a closed cochain. Cocycles are used in algebraic topology to express obstructions (for example, to integrating a differential...

In mathematics, the Meyer signature cocycle, introduced by Meyer (1973). is an integer-valued 2-cocyle on a symplectic group that describes the signature...

set of all q-cocycles. Thus a (q−1)-cochain f {\displaystyle f} is a cocycle if for all q-simplices σ {\displaystyle \sigma } the cocycle condition ∑ j...

In category theory, a branch of mathematics, the cocycle category of objects X, Y in a model category is a category in which the objects are pairs of...

solution for λ = 0 corresponds to the group 1-cocycle 𝜙0(f) = log f' . The corresponding Lie algebra 1-cocycles for λ = 0, 1, 2 are given up to a scalar multiple...

Lesniewski-Osterwalder (JLO) cocycle (named after Arthur Jaffe, Andrzej Lesniewski, and Konrad Osterwalder) is a cocycle in an entire cyclic cohomology...

In mathematics, the Teichmüller cocycle is a certain 3-cocycle associated to a simple algebra A over a field L which is a finite Galois extension of a...

{\displaystyle M} . Then, these functions must also satisfy a cocycle condition, which gives a 1-cocycle on M {\displaystyle M} with values in its tangent bundle...

needed] The multiplicative ergodic theorem is stated in terms of matrix cocycles of a dynamical system. The theorem states conditions for the existence...

satisfying certain condition (so-called cocycle condition). In fact, a factor system constitutes a realisation of the cocycles in the second cohomology group in...