from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. A cochain that is in the kernel of a coboundary map.
Sorry, no etymologies found.
The CS Lagrangian defines some cocycle which under the co-boundary map gives a cyclic group, or similar structure, between the 3-chain (cycle) and the 4-manifold (chain?) of the standard gauge Lagrangian.
It looks at first blush that the BAU is due to a cocycle with the Chern-Simon Lagrangian.
To introduce and quantize this curve is crucial, because the higher-dimensional analogues of the Virasoro cocycle are always functionals of it.
There is a topological result called Poincare duality in algebraic topology, which is that in any n dimensional space a p-dimensional “chain” or cocycle (p — - | out.