On the Iwasawa invariants of a link in the 3-sphere (Q2846885)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the Iwasawa invariants of a link in the 3-sphere |
scientific article; zbMATH DE number 6204393
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Iwasawa invariants of a link in the 3-sphere |
scientific article; zbMATH DE number 6204393 |
Statements
3 September 2013
0 references
Alexander polynomial
0 references
Iwasawa invariant
0 references
link module
0 references
On the Iwasawa invariants of a link in the 3-sphere (English)
0 references
This paper is written in the context of the analogy between knots and primes due to Hillman, Matei, and Morishita. More precisely, the authors discuss analogies between Iwasawa invariants of cyclic branched coverings of links in the 3-sphere and Iwasawa theory of number fields. They discuss the parity of certain invariant, consider the existence of coverings of links having prescribed Iwasawa invariants, and present some examples of 2-component links with fixed Iwasawa invariants. Finally, the authors propose a problem similar to Greenberg's conjecture from Iwasawa theory.
0 references
