- 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 Teichmüller
cocycle is a
certain 3-
cocycle ****ociated to a
simple algebra A over a
field L
which is a
finite Galois extension of a...
- 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...
- Lesniewski-Osterwalder (JLO)
cocycle (named
after Arthur Jaffe,
Andrzej Lesniewski, and
Konrad Osterwalder) is a
cocycle in an
entire cyclic cohomology...
- In mathematics, the
Meyer signature cocycle,
introduced by Meyer (1973). is an integer-valued 2-cocyle on a
symplectic group that
describes the signature...
- 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...
- an
intrinsic way. The
other vector bundles of
tensors have
comparable cocycles,
which come from
applying functorial properties of
tensor constructions...
- }
Cocycles of the form c ( g , h ) = a g h a h a g h − 1 {\displaystyle c(g,h)=a_{g}^{h}a_{h}a_{gh}^{-1}} are
called split.
Cocycles under multiplication...
- as 1-
cocycles modulo an
equivalence relation instead of by 1-coboundaries. The
condition for a map φ {\displaystyle \varphi } to be a 1-
cocycle is that...
- topology, the cup
product is a
method of
adjoining two
cocycles of
degree p and q to form a
composite cocycle of
degree p + q. This
defines an ****ociative (and...
