# coboundary

## coboundary

[kō′bau̇n·drē]
(mathematics)
An image under the coboundary operator.
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0]) be the coboundary operator defined by b[[delta].
Given the ordering of the vertices of K, we have a coboundary operator [delta] : [C.
Our results are most cleanly expressed in terms of the (arithmetic) coboundary polynomial, which is the following simple transformation of the (arithmetic) Tutte polynomial:
This Lie bialgebra is also called a coboundary Lie bialgebra because the cobracket [delta] is a 1-cocycle.
Furthermore, for two distinct connections [omega], [omega], on a bundle, the difference of the characteristic forms can be written as a coboundary p([omega]) - p([omega]) = dT where T = T([omega],[omega]') is also canonically expressed in terms of the connections.
If [omega] is not a coboundary, then there is no ample division algebra in C(G,[omega], k).
G](x, y) in terms of the two variable coboundary polynomial, [[bar.
For any field extension L/K, there is a coboundary map in flat cohomology of group-schemes, [delta.
We view the coboundary map [delta] as a map from the chain space of P to itself, which takes chains of length d to chains of length d +1 for all d.
We will need to know how the coboundary map operates on various n-linear maps on [alpha] # [belta].
We denote the simplicial boundary and coboundary maps respectively by
sigma]] = g defines a cocycle, which is a coboundary, namely there is x [element of] D' with g = [a.

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