数論トポロジー
出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2020/10/03 14:05 UTC 版)
数論トポロジー (arithmetic topology) とは、代数的整数論と位相幾何学を組み合わせた数学の分野である。数論トポロジーは数体と向き付け可能な 3次元閉多様体の間の類似を確立する。
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- ^ Sikora, Adam S. "Analogies between group actions on 3-manifolds and number fields." Commentarii Mathematici Helvetici 78.4 (2003): 832-844.
- ^ Vogel, Denis (13 February 2004), Massey products in the Galois cohomology of number fields, urn:nbn:de:bsz:16-opus-44188
- ^ Morishita, Masanori (22 April 2009), Analogies between Knots and Primes, 3-Manifolds and Number Rings, arXiv:0904.3399
- ^ J. Tate, Duality theorems in Galois cohomology over number fields, (Proc. Intern. Cong. Stockholm, 1962, pp. 288-295).
- ^ M. Artin and J.-L. Verdier, Seminar on étale cohomology of number fields, Woods Hole, 1964.
- ^ Who dreamed up the primes=knots analogy? Archived 2011年7月18日, at the Wayback Machine., neverendingbooks, lieven le bruyn's blog, may 16, 2011,
- ^ Remarks on the Alexander Polynomial, Barry Mazur, c.1964
- ^ B. Mazur, Notes on ´etale cohomology of number fields, Ann. scient. ´Ec. Norm. Sup. 6 (1973), 521-552.
- ^ A. Reznikov, Three-manifolds class field theory (Homology of coverings for a nonvirtually b1-positive manifold), Sel. math. New ser. 3, (1997), 361–399.
- ^ M. Kapranov, Analogies between the Langlands correspondence and topological quantum field theory, Progress in Math., 131, Birkhäuser, (1995), 119–151.
[続きの解説]
「数論トポロジー」の続きの解説一覧
- 1 数論トポロジーとは
- 2 数論トポロジーの概要
- 数論トポロジーのページへのリンク
