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Cohomological Invariants of a Variation of Flat Connections

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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 (2p − r − 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.

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  1. The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600113, India

    Jaya N. N. Iyer

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  1. Jaya N. N. Iyer
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Iyer, J.N.N. Cohomological Invariants of a Variation of Flat Connections. Lett Math Phys 106, 131–146 (2016). https://doi.org/10.1007/s11005-015-0807-5

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  • DOI: https://doi.org/10.1007/s11005-015-0807-5

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