Papers

Refereed

  1. Katsumi Hagita, Takahiro Murashima, Naoki Sakata, Koya Shimokawa, Tetuo Deguchi, Erica Uehara, Susumu Fujiwara, Molecular Dynamics of Topological Barriers on the Crystallization Behavior of Ring Polyethylene Melts with Trefoil Knots, Macromolecules, 56 (2023), 1, 15–27
  2. Naoki Sakata, Ryosuke Mishina, Masaki Ogawa, Kai Ishihara, Yuya Koda, Makoto Ozawa, Koya Shimokawa, Handlebody decompositions of three-manifolds and polycontinuous patterns, Proceedings of Royal Society Part A, 478 (2022), 20220073
  3. Katsumi Hagita, Takahiro Murashima, Naoki Sakata, Mathematical Classification and Rheological Properties of Ring Catenane Structures, Macromolecules, 55 (2022), 1, 166–177
  4. Naoki Sakata, Veering structures of the canonical decompositions of hyperbolic fibered two-bridge link complements, Journal of Knot Theory and Its Ramifications, 25 (2016), 1650015, [34pages]
  5. Naoki Sakata, Canonical decompositions of hyperbolic fibered two-bridge link complements, Topology and its Applications, 196 (2015), 821–845

Non-Refereed

  1. Naoki Sakata, taut な理想三角形分割における veering の判定方法, RIMS Kôkyûroku, (2018), 2062, 27–32
  2. Naoki Sakata, Veering triangulations of mapping tori of some psudo-Anosov maps arising from Penner's construction, 結び目の数学IX 報告集, (2017), 273–279
  3. Naoki Sakata, The canonical decomposition of the two-bridge knot with slope 12/29 and the Cannon-Thurston map associated with the knot, RIMS Kôkyûroku, 1991 (2016), 148–153
  4. Naoki Sakata, 双曲的ファイバー二橋絡み目補空間の標準的分割, 結び目の数学V 報告集, (2013), 131–140

Preprint

  1. Ken'ichi Yoshida, Naoki Sakata, Koya Shimokawa, A mathematical approach to mechanical properties of networks in thermoplastic elastomers, arXiv: 2310.14962
  2. Genki Omori, Naoki Sakata, Dehn twist--crosscap slide presentations for involutions on non-orientable surfaces of genera up to 5, arXiv: 2303.10298