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- W3100557922 abstract "Analogues of Iwasawa invariants in the context of 3-dimensional topology have been studied by M. Morishita and others. In this paper, following the dictionary of arithmetic topology, we formulate an analogue of Kida’s formula on [Formula: see text]-invariants in a [Formula: see text]-extension of [Formula: see text]-fields for 3-manifolds. The proof is given in a parallel manner to Iwasawa’s second proof, with use of [Formula: see text]-adic representations of a finite group. In the course of our arguments, we introduce the notion of a branched [Formula: see text]-cover as an inverse system of cyclic branched [Formula: see text]-covers of 3-manifolds, generalize the Iwasawa type formula, and compute the Tate cohomology of 2-cycles explicitly." @default.
- W3100557922 created "2020-11-23" @default.
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- W3100557922 date "2017-04-11" @default.
- W3100557922 modified "2023-10-17" @default.
- W3100557922 title "On the Iwasawa invariants for links and Kida’s formula" @default.
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