[Ca07] Danny Calegari, Foliations and the geometry of 3-manifolds, Oxford University Press on Demand, 2007.
[CCF00] John Cantwell and Lawrence Conlon, Tischler fibrations of open foliated sets, Annales de l’institut Fourier, 31, no.2, 1981, 113–135.
[CC81] A. Candel and L. Conlon, Foliations I, American Mathematical Society, Providence, RI, 2000.
[Co00] Alain Connes, Noncommutative geometry year 2000, Visions in Mathematics, 481–559, Springer, 2000.
[D92] Christopher Deninger, LocalL-factors of motives and regularized determinants, Inventiones mathematicae, 107, no.1, 1992, 135–150.
[D98] Christopher Deninger, Some analogies between number theory and dynamical systems on foliated spaces, Doc. Math. J. DMV. Extra, 901, 1998, 23–46.
[D00] Christopher Deninger, On dynamical systems and their possible significance for arithmetic geometry, In: Regulators in analysis, geometry and number theory, 2000, 29–87.
[D02a] Christopher Deninger, A note on arithmetic topology and dynamical systems, Contemporary Mathematics, American Mathematical Society, 300, 2002, 99–114.
[D02b] Christopher Deninger, Number theory and dynamical systems on foliated spaces, arXiv preprint math/0204110, 2002.
[D05] Christopher Deninger, Arithmetic geometry and analysis on foliated spaces, arXiv preprint math/0505354, 2005.
[D06] Christopher Deninger, A dynamical systems analogue of Lichtenbaum’s conjectures on special values of Hasse-Weil zeta functions, Analytic Number Theory, Research Institute of Mathematical Science, Kyoto University, Kokyuroku, 2006.
[D08] Christopher Deninger, Analogies between analysis on foliated spaces and arithmetic geometry, In: Groups and Analysis,174–190, 2008.
[F04] Michael Faber,Topology of closed one-forms, 108, 2004. American Mathematical Society.
[G99] Etienne Ghys,Laminations par surfaces de Riemann, Dynamique et ´ g´eom´etrie complexes (Lyon, 1997), 8, 49–95, 1999, Soc. Math.
[Ha77] Robin Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, 52, Springer, 1977.
[He04] John Hempel, 3-Manifolds, 349, American Mathematical Society, 2004.
[HM16] Tomohiro Horiuchi, Yoshihiko Mitsumatsu, Reeb components with complex leaves and their symmetries I: The automorphism groups and Schr¨oder’s equation on the half line, arXiv preprint arXiv:1605.08977, 2016.
[Hu06] Steven Hurder, The ¯∂-operator, Appendix A, In: C. Moore, C. Schochet, Global analysis on foliated spaces, Cambridge University Press, 2006.
[JS79] William Jaco, Peter Shalen, Seifert fibered spaces in 3-manifolds, In: Geometric topology,Elsevier, 91–99, 1979.
[Joh79] Klaus Johanson, Homotopy equivalences of 3-manifolds with boundaries, Lecture Notes in Math. 761, Springer, 1979.
[KH97] Anatol Katok and Boris Hasselblatt, Introduction to the modern theory of dynamical systems, 54, Cambridge university press, 1997.
[KS90] Atsushi Katsuda and Toshikazu Sunada, Closed orbits in homology classes, Publications Math´ematiques de l’IHES´ 91, 1990, 5–32.
[Kim17] Junhyeong Kim, On the leafwise cohomology and dynamical zeta functions for fiber bundles over the circle, arXiv preprint arXiv:1712.04181, 2017.
[Kim19] Junhyeong Kim, Leafwise cohomological expression of dynamical zeta functions on foliated dynamical systems, arXiv preprint arXiv:1912.02159, 2019.
[KMNT21] Junjyeong Kim, Masanori Morishita, Takeo Noda and Yuji Terashima, On 3-dimensional foliated dynamical systems and Hilbert type reciprocity law, M¨unster Journal of Mathematics, 14, No.2, 2021 (to appear).
[Ko06] Fabian Kopei, A remark on a relation between foliations and number theory, arXiv preprint math/0605184, 2006.
[Ko11] Fabian Kopei, A foliated analogue of one-and two-dimensional Arakelov theory, Abhandlungen aus dem Mathematischen Seminar der Universit¨at Hamburg, 81 No.2, 2011, p.141.
[LG01] Jes´us A Alvarez L´opez and Hector Gilbert, The dimension of the ´ leafwise reduced cohomology, American Journal of Mathematics, 123, No.4, 2001, 607–646.
[LK01] Jes´us A Alvarez L´opez and Yuri A Kordyukov, Long time behaviour of ´ leafwise heat flow for Riemannian foliations, Compositio Mathematica, 125, No.2, 2001, 129–153.
[LK02] Jes´us A Alvarez L´opez and Yuri A Kordyukov, Distributional Betti ´ numbers of transitive foliations of codimension one, In: Foliations: Geometry and Dynamics, World Scientific, 2002, 159–183.
[Ma12] Barry Mazur, Primes, knots and Po, In: Lecture notes for the conference ’Geometry, Topology and Group Theory’ in honor of the 80th birthday of Valentin Poenaru, 2012.
[Mc13] Curtis T McMullen, Knots which behave like the prime numbers, Compositio Mathematica 149, (08), 2013, 1235–1244.
[Mih19] Tomoki Mihara, Cohomological Approach to Class Field Theory in Arithmetic Topology, Canadian Journal of Mathematics, 71, No.4, 2019, 891–935.
[Mo12] Masanori Morishita, Knots and Primes: An Introduction to Arithmetic Topology, Universitext, Springer, 2012.
[NN57] August Newlander and Lois Nirenberg, Complex analytic coordinates in almost complex manifolds, Annals of Mathematics, 65, No.3, 1957, 391–404.
[NU] Hirofumi Niibo and Jun Ueki, Idelic class field theory for 3-manifolds and very admissible links, Transactions of the American Mathematical Society, 371, no.12, 8467–8488, 2019.
[Se56] Atle Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces witn applications to Dirichlet series, J. Indian Math. Soc., 20, (1956), 47–87.
[Sm00] Stephen Smale, Diffeomorphisms with many periodic points, The Collected Papers of Stephen Smale: Volume 2, 636–653, 2000, World Scientific.
[Su88a] Toshikazu Sunada, Fundamental groups and Laplacians (Japanese), Kinokuniya, 1988.
[Su88b] Toshikazu Sunada, Fundamental groups and Laplacians, In: Geometry and analysis on manifolds, 248–277, 1988.
[Ta92] Ichiro Tamura, Topology of Foliations: An Introduction, American Mathematical Society, 1992.
[Ti70] David Tischler, On fibering certain foliated manifolds over S1 , Topology, 9, no.2, 1970, 153–154.
論文の公開元へ
