Last modified on 10th.Jan.2017

Research

Preprint

  1. M. Sakuma and Y. Yokota, An application of non-positively curved cubings of alternating links, arXiv:1612.06973.
  2. D. Lee and M. Sakuma, A family of two generator non-Hopfian groups, arXiv:1609.04288.
  3. B. Bowditch and M. Sakuma, The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface, arXiv:1608.03009.

Publications

  1. D. Lee and M. Sakuma, Parabolic generating pairs of genus-one 2-bridge knot groups, J. Knot Theory Ramifications 25 (2016), 1650023 [21 pages], arXiv:1508.03793.
  2. D. Lee and M. Sakuma, Simple loops on 2-bridge spheres in Heckoid orbifolds for the trivial knot, East Asian Math. J. 32 (2016), 717–728, arXiv:1502.04215.
  3. D. Lee and M. Sakuma, Homotopically equivalent simple loops on 2-bridge spheres in Heckoid orbifolds for 2-bridge links (I), J. Knot Theory Ramifications 25 (2016), 1650067 [33 pages], arXiv:1402.6870.
  4. 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), 1650066 [22 pages], arXiv:1402.6873.
  5. K. Ohshika and M. Sakuma, Subgroups of mapping class groups related to Heegaard splittings and bridge decompositions, Geometria Dedicata 180 (2016), 117--134. arXiv:1308.0888.
  6. 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.
  7. D. Lee and M. Sakuma, Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge link complements (I), Geom. Dedicata 171 (2014), 1–28.
  8. D. Lee and M. Sakuma, Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge link complements (II), Geom. Dedicata 171 (2014), 29–56.
  9. D. Lee and M. Sakuma, Homotopically equivalent simple loops on 2-bridge spheres in 2-bridge link complements (III), Geom. Dedicata 171 (2014), 57–91.
  10. D. Lee and M. Sakuma, A variation of McShane’s identity for 2-bridge links, Geom. Topol. 17 (2013), 2061–2101.
  11. D. Lee and M. Sakuma, Epimorphisms from 2-bridge link groups onto Heckoid groups (I), Hiroshima Math. J. 43 (2013), 239–264.
  12. D. Lee and M. Sakuma, Epimorphisms from 2-bridge link groups onto Heckoid groups (II), Hiroshima Math. J. 43 (2013), 265–284.
  13. 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.
  14. 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.
  15. 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.
  16. W. Dicks and M. Sakuma, Punctured torus bundles III: Comparing two tessellations of the complex plane, Topology Appl., 157 (2010), 1873–1899.
  17. M. Sakuma and K. Shackleton: On the distance between two Seifert surfaces of a knot Osaka Jour. Math. 46 (2009), 203–221.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. H. Akiyoshi, M. Sakuma, M. Wada, and Y. Yamshita, A way from punctured torus groups to two-bridge knot groups, Proceeding of Workshop in Pure Mathematics 19 (2000), 145–173.
  27. E. Klimenko and M. Sakuma, Two-generator discrete subgroups of Isom(H2) containing orientation-reversing elements, Geom. Dedicata, 72 (1998), 247-282.
  28. M. Sakuma, The topology, geomerty and algebra of unknotting tunnels, Chaos, Solitons and Fractals 9 (1998), 739-748
  29. 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.
  30. J. Hillman and M. Sakuma, Homology of finite abelian coverings, Canadian Math. Bull. 40 (1997) 309-315.
  31. H. Akiyoshi Y. Nakagawa and M. Sakuma, Shortest vertical geodesics of manifolds obtained by hyperbolic Dehn surgery on the Whitehead link, Knot 96 (ed. S. Suzuki) 433-448 (1997) World Scientific Publishing Co.
  32. M. Hirasawa and M. Sakuma, Minimal genus Seifert surafecs for alternating links, Knot 96 (ed. S. Suzuki) 383-394 (1997) World Scientific Publishing Co.
  33. K. Morimoto, M. Sakuma and Y. Yokota, Identifying tunnel number one knots, J. Math. Soc., Japan 48 (1996) 667-688.
  34. K. Morimoto, M. Sakuma and Y. Yokota, Examples of tunnel number one knots which have the property ``1+1=3", Math. Proc. Cambridge Phil. Soc. 119 (1996) 113-118.
  35. M. Sakuma and J. Weeks, Examples of canonical decompositions of hyperbolic link complements, Japanese J. Math. 21 (1995) 393-439. pdf
  36. M. Sakuma and J. Weeks, The generalized tilt formula, Geometriae Dedicata 55 (1995) 115-123.
  37. M. Sakuma, Homology of abelian coverings and spatial graphs, Canadian J. Math. 47 (1995) 201-224.
  38. M. Sakuma, Minimal genus Seifert surfaces for special arborescent links, Osaka J. Math. 31 (1994) 861-905.
  39. 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.
  40. M. Sakuma, A note on Wada’s group invariants of links, Proc. Japan Academy 67 (1991) 176-177.
  41. K. Morimoto and M. Sakuma, On unknotting tunnels for knots, Math. Ann. 289 (1991) 143-167.
  42. M. Sakuma, The geometries of spherical Montesinos links, Kobe J. Math. 7 (1990) 167-190. pdf Correction.
  43. M. Masuda and M. Sakuma, Knotting codimension 2 submanifolds locally, L’Enseign. Math. 35 (1989) 21-40.
  44. M. Sakuma, Realization of the symmetry groups of links, Transformation groups (ed. K. Kawakubo) Lect. Notes in Math. 1375 (1989) 291-306 Springer-Verlag. pdf
  45. M. Sakuma, An evaluation of the Jones polynomial of a parallel link, Math. Proc. Cambridge Phil. Soc. 104 (1988) 105-113.
  46. M. Sakuma, Uniqueness of symmetries of knots, Math. Z. 192 (1986) 225-242.
  47. M. Sakuma, Non-free-periodicity of amphicheiral hyperbolic knots, Homotopy Theory and related topics Adv. Stud. in Math. 9 (1986) Kinokuniya and North-Holland. pdf
  48. M. Sakuma, On strongly invertible knots, Algebraic and Topological Theories, Proc. Miyata memorial Conf. (1985) Kinokuniya Co. Ltd. pdf
  49. M. Sakuma, Involutions on torus bundles over S1, Osaka J. Math. 22 (1985) 163-185,
  50. F. Hosokawa, A. Kawauchi, Y. Nakanishi and M. Sakuma, Note on critical points of surfaces in 4-space, Kobe J. Math. 1 (1984) 151-152.
  51. A. Kawauchi, T. Kobayashi and M. Sakuma, On 3-manifolds with no periodic maps , Japanese J. Math. 10 (1984) 185-193.
  52. S. Furusawa and M. Sakuma Dehn surgery on symmetric knots, Math. Sem. Notes, Kobe Univ. 11 (1983) 179-198. pdf
  53. L. Traldi and M. Sakuma, Linking numbers and the groups of links , Math. Sem. Notes, Kobe Univ. 11 (1983) 3-16.
  54. M. Sakuma, On regular coverings of links, Math. Ann. 260 (1982) 303-315.
  55. M. Sakuma, Periods of composite links, Math. Sem. Notes, Kobe Univ. 9 (1981) 445-452. pdf
  56. M. Sakuma, On the polynomials of periodic links, Math. Ann. 257 (1981) 487-494.
  57. M. Sakuma, Surface bundles over S1 which are 2-fold branched cyclic coverings of S3, Math. Sem. Notes, Kobe Univ., 9 (1981) 159-180. pdf
  58. M. Sakuma, The homology groups of abelian coverings of links, Math. Sem. Notes, Kobe Univ. 7 (1979) 515-530. pdf