The Cotton tensor and Chern-Simons invariants in dimension 3: an introduction (Q2831439)

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scientific article; zbMATH DE number 6650392
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The Cotton tensor and Chern-Simons invariants in dimension 3: an introduction
scientific article; zbMATH DE number 6650392

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    10 November 2016
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    Chern-Simons invariant
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    Schouten tensor
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    Cotton tensor
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    locally conformally flat metrics
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    eta invariant
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    Selberg zeta function of odd type
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    3-manifold
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    math.DG
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    The Cotton tensor and Chern-Simons invariants in dimension 3: an introduction (English)
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    In the article under review, the author surveys Chern-Simons theory on 3-manifolds. Moreover, the author proves that the Cotton tensor is the first-order variation of the Chern-Simons invariants and establishes several properties of the Cotton tensor. Finally, the author relates Chern-Simons invariants with eta-invariants and Selberg zeta function.
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