Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Iwasawa invariants for links and Kida's formula   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 $\lambda$-invariants in a $p$-extension of $\mathbb{Z}_p$-fields for
3-manifolds. The proof is given in a parallel manner to Iwasawa's second proof,
with use of $p$-adic representations of a finite group. In the course of our
arguments, we introduce the notion of a branched $\mathbb{Z}_p$-cover as an
inverse system of cyclic branched $p$-covers of 3-manifolds, generalize the
Iwasawa type formula, and compute the Tate cohomology of 2-cycles explicitly.

15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat