Letters in Mathematical Physics

, Volume 106, Issue 1, pp 131–146 | Cite as

Cohomological Invariants of a Variation of Flat Connections

  • Jaya N. N. Iyer


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


variation of flat connections differential cohomology canonical invariants 

Mathematics Subject Classification

53C55 53C07 53C29 53.50 


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© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.The Institute of Mathematical Sciences, CIT CampusTaramani, ChennaiIndia

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