Cohomological invariants of a variation of flat connection

Abstract

In this paper, we apply the theory of Chern-Cheeger-Simons to construct canonical invariants associated to a $r$-simplex whose points parametrize flat connections on a smooth manifold $X$. These invariants lie in degrees $(2p-r-1)$-cohomology with $C/Z$-coefficients, for $p>r\ge 1$. In turn, this corresponds to a homomorphism on the higher homology groups of the moduli space of flat connections, and taking values in $C/Z$-cohomology of the underlying smooth manifold $X$.

15 p. Final version, to appear. arXiv admin note: text overlap with arXiv:1310.0001

Cited by in corpus (2)

• Differential characters and cohomology of the moduli of flat Connections
• Invariants of families of flat connections using fiber integration of differential characters