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Idèlic class field theory for 3-manifold...

Niibo, Hirofumi...

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Idèlic class field theory for 3-manifolds and very admissible links by Niibo, Hirofumi ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	16-01-2015
Summary	We study a topological analogue of idèlic class field theory for 3-manifolds, in the spirit of arithmetic topology. We firstly introduce the notion of a very admissible link K in a 3-manifold M, which plays a role analogous to the set of primes of a number field. For such a pair (M,K), we introduce the notion of idèles and define the idèle class group. Then, getting the local class field theory for each knot in K together, we establish analogues of the global reciprocity law and the existence theorem of idèlic class field theory.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1501.03890

Citation

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AMA 11th EditionReferences

Niibo, Hirofumi. Idèlic class field theory for 3-manifolds and very admissible links. N.A. January 16, 2015. Accessed October 04, 2025. https://online.provdatabase.com/cite/18281

APA 7th EditionReferences

Niibo, Hirofumi. (2015). Idèlic class field theory for 3-manifolds and very admissible links. N.A. https://online.provdatabase.com/cite/18281

Chicago 17th EditionReferences

Niibo, Hirofumi. Idèlic class field theory for 3-manifolds and very admissible links. N.A. 2015. https://online.provdatabase.com/cite/18281

HarvardReferences

Niibo, Hirofumi. (2015). Idèlic class field theory for 3-manifolds and very admissible links. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18281. (Accessed 04 October 2025).

Harvard AustraliaReferences

Niibo, Hirofumi, 2015, Idèlic class field theory for 3-manifolds and very admissible links, N.A, viewed 04 October 2025, <https://online.provdatabase.com/cite/18281>

MLA 9th EditionWorks Cited

Niibo, Hirofumi. Idèlic class field theory for 3-manifolds and very admissible links. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18281.

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