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Cohomological invariants of a variation of flat connection
In this paper, we apply the theory of Chern-Cheeger-Simons to construct
canonical invariants associated to a -simplex whose points parametrize flat
connections on a smooth manifold . These invariants lie in degrees
-cohomology with -coefficients, for . In turn, this
corresponds to a homomorphism on the higher homology groups of the moduli space
of flat connections, and taking values in -cohomology of the underlying
smooth manifold .Comment: 15 p. Final version, to appear. arXiv admin note: text overlap with
arXiv:1310.000
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