IDÈLIC CLASS FIELD THEORY FOR 3-MANIFOLDS

Author:

NIIBO Hirofumi

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference11 articles.

1. [Ka] M. Kapranov. Analogies between number fields and 3-manifolds. Unpublished note, Max-Plank Institute.

2. [KKS] K. Kato, N. Kurokawa and T. Saito. Number Theory 2: Introduction to Class Field Theory. American Mathematical Society, Providence, RI, 2011.

3. [Ma] B. Mazur. Remark on Alexander polynomial. Unpublished notes, 1963-64.

4. [Mo1] M. Morishita. On certain analogies between knots and primes. J. Reine Angew. Math. 550 (2002), 141- 167.

5. [Mo2] M. Morishita. Analogies between knots and primes, 3-manifolds and number rings. Sugaku Expositions, 23(1) (2010), 1-30.

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1. Idelic Class Field Theory for 3-Manifolds and Number Rings;Universitext;2023-12-21

2. A Hilbert reciprocity law on 3-manifolds;Research in the Mathematical Sciences;2022-12-03

3. Chebotarev links are stably generic;Bulletin of the London Mathematical Society;2020-07-21

4. Idèlic class field theory for 3-manifolds and very admissible links;Transactions of the American Mathematical Society;2019-02-28

5. On the Iwasawa $\mu$-invariants of branched $\mathbf{Z}_{p}$-covers;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2016-06-01

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