研究業績リスト
出版論文

1. M. Sakuma, The homology groups of abelian coverings of links, Math. Sem. Notes, Kobe Univ. 7(1979) 515–530.
2. M. Sakuma, Surface bundles over S 1 which are 2-fold branched cyclic coverings of S 3 , Math. Sem.
Notes, Kobe Univ., 9 (1981) 159–180.
3. M. Sakuma, On the polynomials of periodic links, Math. Ann. 257 (1981) 487–494.
4. M. Sakuma, Periods of composite links, Math. Sem. Notes, Kobe Univ. 9 (1981) 445–452.
5. M. Sakuma, On regular coverings of links, Math. Ann. 260 (1982) 303–315.
6. L. Traldi and M. Sakuma, Linking numbers and the groups of links , Math. Sem. Notes, Kobe
Univ. 11 (1983) 3–16.
7. S. Furusawa and M. Sakuma Dehn surgery on symmetric knots, Math. Sem. Notes, Kobe Univ.
11 (1983) 179–198.
8. A. Kawauchi, T. Kobayashi and M. Sakuma On 3-manifolds with no periodic maps , Japanese J.
Math. 10 (1984) 185–193.
9. F. Hosokawa, A. Kawauchi, Y. Nakanishi and M. Sakuma Note on critical points of surfaces in4-space, Kobe J. Math. 1 (1984) 151–152.
10. M. Sakuma, Involutions on torus bundles over S 1 , Osaka J. Math. 22 (1985) 163–185,
11. M. Sakuma, On strongly invertible knots, Algebraic and Topological Theories, Proc. Miyata memorial Conf. (1985) Kinokuniya Co. Ltd.
12. M. Sakuma, Non-free-periodicity of amphicheiral hyperbolic knots, Homotopy Theory and related
topics Adv. Stud. in Math. 9 (1986) Kinokuniya and North-Holland.
13. M. Sakuma, Uniqueness of symmetries of knots, Math. Z. 192 (1986) 225–242.
14. M. Sakuma, An evaluation of the Jones polynomial of a parallel link, Math. Proc. Cambridge
Phil. Soc. 104 (1988) 105–113.
15. M. Sakuma, Realization of the symmetry groups of links, Transformation groups (ed. K. Kawakubo)
Lect. Notes in Math. 1375 (1989) 291–306 Springer-Verlag.
16. M. Masuda and M. Sakuma Knotting codimension 2 submanifolds locally, L’Enseign. Math. 35(1989) 21–40.
17. M. Sakuma, The geometries of spherical Montesinos links, Kobe J. Math. 7 (1990) 167-190.
18. K. Morimoto and M. Sakuma, On unknotting tunnels for knots, Math. Ann. 289 (1991) 143–167.
19. M. Sakuma, A note on Wada’s group invariants of links, Proc. Japan Academy 67 (1991) 176–177.

120. K. Kodama and M. Sakuma, Symmetry groups of prime knots up to 10 crossings, Knot 90 (ed. A.
Kawauchi) 324-340 (1992) Walter de Gruyter Co.
21. M. Sakuma, Minimal genus Seifert surfaces for special arborescent links, Osaka J. Math. 31 (1994)
861–905.
22. M. Sakuma, Homology of abelian coverings and spatial graphs, Canadian J. Math. 47 (1995)
201–224.
23. M. Sakuma and J. Weeks, The generalized tilt formula, Geometriae Dedicata 55 (1995) 115–123.
24. M. Sakuma and J. Weeks, Examples of canonical decompositions of hyperbolic link complements,Japanese J. Math. 21 (1995) 393–439.
25. K. Morimoto, M. Sakuma and Y. Yokota, Examples of tunnel number one knots which have theproperty “1+1=3”, Math. Proc. Cambridge Phil. Soc. 119 (1996) 113–118.
26. K. Morimoto, M. Sakuma and Y. Yokota, Identifying tunnel number one knots, J. Math. Soc.,
Japan 48 (1996) 667–688.
27. M. Hirasawa and M. Sakuma, Minimal genus Seifert surafecs for alternating links, Knot 96 (ed.
S. Suzuki) 383–394 (1997) World Scientific Publishing Co.
28. H. Akiyoshi Y. Nakagawa and M. Sakuma, Shortest vertical geodesics of manifolds obtained byhyperbolic Dehn surgery on the Whitehead link, Knot 96 (ed. S. Suzuki) 433–448 (1997) World
Scientific Publishing Co.
29. J. Hillman and M. Sakuma, Homology of finite abelian coverings, Canadian Math. Bull. 40 (1997)
309–315.
30. M. Sakuma, Murasugi decompositions of certain Seifert surfaces and unknotting operations, Proc.
of the 5th Korea-Japan School of knots and links (ed. G.T. Jin and K.H. Ko) 233–248.
31. M. Sakuma, The topology, geomerty and algebra of unknotting tunnels, Chaos, Solitons and Fractals
9 (1998), 739–748
32. E. Klimenko and M. Sakuma, Two-generator discrete subgroups of Isom(H 2 ) containing orientationreversing elements, Geom. Dedicata, 72 (1998), 247–282.
33. H. Akiyoshi, M. Sakuma, M. Wada, and Y. Yamshita, A way from punctured torus groups totwo-bridge knot groups, Proceeding of Workshop in Pure Mathematics 19 (2000), 145–173.
34. M. Sakuma, Surgery description of orientation-preserving periodic maps on compact orientable
3-manifolds, Rend. Istit. Mat. Univ. Trieste 32 (2001), suppl. 1, 375–396.
35. H. Akiyoshi and M. Sakuma, Comparing two convex hull constructions of cusped hyperbolic manifolds, Proceedings of the Workshop “Kleinian groups and hyperbolic 3-manifolds”, held in Warwick,
2002, London Math. Soc., Lecture Note Series 299, 209–246, 2003.
36. H. Akiyoshi, M. Sakuma, M. Wada, and Y. Yamshita, Jorgensen’s picture of punctured torus groups
and its refinement, Proceedings of the Workshop “Kleinian groups and hyperbolic 3-manifolds”,
held in Warwick, 2002, London Math. Soc., Lecture Note Series 299, 247–273, 2003.
237. H. Akiyoshi, H. Miyachi and M. Sakuma, A refinement of McShane’s identity for quasifuchsian
punctured torus groups, In the Tradition of Ahlfors and Bers, III, Contemporary Math., 355, 21–40,
2004.
38. H. Akiyoshi, H. Miyachi and M. Sakuma, Variations of McShane’s identity for punctured surface
groups, Proceedings of the Workshop “Spaces of Kleinian groups and hyperbolic 3-manifolds”,London Math. Soc., Lecture Note Series 329, 151–185, 2006.
39. M. Sakuma, Epimorphisms between 2-bridge knot groups from the view point of markoﬀ maps,
Intelligence of Low Dimensional Topology 2006 Eds. J. Scott Carter et. al. pp. 279–286, (2007)
World Scientific Publishing Co.
40. T. Ohtsuki, R. Riley and M. Sakuma, Epimorphisms between 2-bridge knot groups, The Zieschang
Gedenkschrift, Geometry and Topology Monograph 14, 2008, pp.417–450.
41. M. Sakuma and K. Shackleton: On the distance between two Seifert surfaces of a knot Osaka Jour.
Math. 46 (2009), 203–221.
42. W. Dicks and M. Sakuma, Punctured torus bundles III: Comparing two tessellations of the complex
plane, Topology Appl., 157 (2010), 1873–1899.
43. D. Lee and M. Sakuma, Simple loops on 2-bridge spheres in 2-bridge link complements. Electron.
Res. Announc. Math. Sci. 18 (2011), 97–111.
44. D. Lee and M. Sakuma, Epimorphisms between 2-bridge link groups: homotopically trivial simple
loops on 2-bridge spheres, Proc. Lond. Math. Soc. (3) 104 (2012), 359–386.
45. D. Lee and M. Sakuma, Simple loops on 2-bridge spheres in Heckoid orbifolds for 2-bridge links,Electron. Res. Announc. Math. Sci. 19 (2012), 97–111.
46. D. Lee and M. Sakuma, Epimorphisms from 2-bridge link groups onto Heckoid groups (I), Hiroshima
Math. J. 43 (2013), 239–264.
47. D. Lee and M. Sakuma, Epimorphisms from 2-bridge link groups onto Heckoid groups (II), Hiroshima Math. J. 43 (2013), 265–284.
48. D. Lee and M. Sakuma, A variation of McShane’s identity for 2-bridge links, Geom. Topol. 17(2013), 2061–2101.
49. D. Lee and M. Sakuma, Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge linkcomplements (I), Geom. Dedicata 171 (2014), 1–28.
50. D. Lee and M. Sakuma, Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge linkcomplements (II), Geom. Dedicata 171 (2014), 29–56.
51. D. Lee and M. Sakuma, Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge linkcomplements (III), Geom. Dedicata 171 (2014), 57–91.
52. H. Akiyoshi, D. Lee and M. Sakuma, A variation of McShane’s identity for 2-bridge links and its
possible generalization, RIMS Kokyuroku Bessatsu B48 (2014), 131–147.

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53. K. Ohshika and M. Sakuma Subgroups of mapping class groups related to Heegaard splittings andbridge decompositions, Geom. Dedicata 180 (2016), 117–134.
54. D. Lee and M. Sakuma, Parabolic generating pairs of genus-one 2-bridge knot groups, J. Knot
Theory Ramifications 25 (2016), no. 5, 1650023, 21 pp.
55. D. Lee and M. Sakuma, Homotopically equivalent simple loops on 2-bridge spheres in Heckoidorbifolds for 2-bridge links (I), J. Knot Theory Ramifications 25 (2016), no. 11, 1650067, 33 pp.
56. D. Lee and M. Sakuma, Homotopically equivalent simple loops on 2-bridge spheres in Heckoid
orbifolds for 2-bridge links (II), J. Knot Theory Ramifications 25 (2016), no. 11, 1650066, 22 pp.
57. D. Lee and M. Sakuma, A family of two-generator non-Hopfian groups. Internat, J. Algebra
Comput. 27 (2017), no. 6, 655–675.
58. M. Sakuma and Y. Yokota, An application of non-positively curved cubings of alternating links,Proc. Amer. Math. Soc. 146 (2018), no. 7, 3167–3178.
59. B. H. Bowditch and M. Sakuma, The action of the mapping class group on the space of geodesic
rays of a punctured hyperbolic surface, Groups Geom. Dyn. 12 (2018), no. 2, 703–719.
60. L. Paoluzzi and M. Sakuma, Prime amphicheiral knots with free period 2, Proc. Edinburgh Math.
Soc. 63 (2019), 105–138.
61. M. Sakuma, A survey of the impact of Thurston’s work on knot theory, In the tradition of Thurston,ed. K. Ohshika, A. Papadopoulos, Springer, pp.67–160, 2020.
62. S. Aimi, D. Lee, S. Sakai, and M. Sakuma, Classification of parabolic generating pairs of Kleiniangroups with two parabolic generators, Rend. Istit. Mat. Univ. Trieste 52 (2020), 477–511.
63. H. Akiyoshi, K. Ohshika, J. Parker, M. Sakuma, and H. Yoshida, Non-free Kleiniain groups generated by two parabolic transformations, Trans. A.M.S. 374 (2021), 1765–1814.
著書

1. 河内明夫編著「結び目理論」シュプリンガー・フェアラーク東京, 1990.
2. A. Kawauchi. A survey of knot theory, Birkhäuser Verlag, Basel, 1996. xxii+420 pp.
3. H. Akiyoshi and M. Sakuma, M. Wada, and Y. Yamshita, Punctured torus groups and 2-bridge
knot groups, Lecture Notes in Mathematics, 1909. Springer, Berlin, 2007. xliv+252 pp.
編集

1. M. Kato, T. Maeda, Y. Nakanishi, M. Sakuma, S. Suzuki, S. Yamada, T. Yanagama, and Y.
Yokota, “Knot Theory”, dedicated to Professor Kunio Murasugi for his 70th birthday, Toronto,
1999.
2. Y. Minsky, M. Sakuma and C. Series, Spaces of Kleinian groups and hyperbolic 3-manifolds,
Proceedings of the Workshop “Spaces of Kleinian groups and hyperbolic 3-manifolds”, London
Math. Soc., Lecture Note Series 329, 2006.
翻訳41. 3 次元幾何学とトポロジー．培風館 1999 年 １月著者： W. サーストン, 監訳：小島定吉．
2. Not Knot： 消えた結び目、結び目補空間を飛ぶ：制作：Geomerty Center． 伸興通商 1999 年．共訳：平澤美可三．

3. The Shape of Space： 宇宙の形：制作：Geomerty Center． 伸興通商 1999 年．共訳：平澤美可三．
その他

1. 「結び目と非ユークリッド幾何学」数理科学 第 39 巻 4 号「非ユークリッド幾何学の数理」2021 年，pp.56–63.
2. 書評「サーストン万華鏡 - 人と人類の未来を見つめて - 小島定吉，藤原耕二 編，共立出版，2020」
数学通信 第 26 巻第 2 号，2021 年，pp.94–102.

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