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- W2618288941 abstract "This paper concerns an arithmetic version of Chern-Simons theory for finitegauge group proposed by M. Kim. The object of this paper is to use a differentapproach to prove a formula for Kim's invariant in terms of Artin maps in thecase of cyclic unramified Kummer extensions. One consequence is that for all $n> 1$, there are infinitely many number fields $F$ over which there are bothtrivial and non-trivial Kim invariants associated to cyclic groups of order$n$. The construction also shows that Kim's invariant in the cyclic case is aspecialization of a bilinear pairing in Galois cohomology which resembles, butis different from, one considered by McCallum and Sharifi." @default.
- W2618288941 created "2017-06-05" @default.
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- W2618288941 date "2017-05-19" @default.
- W2618288941 modified "2023-09-27" @default.
- W2618288941 title "Unramified arithmetic Chern-Simons invariants" @default.
- W2618288941 hasPublicationYear "2017" @default.
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