研究者詳細

顔写真

サカタ　ナオキ
阪田　直樹
Naoki Sakata
所属
高等研究機構材料科学高等研究所　数学連携グループ
職名
助教
学位

  • 博士（理学）（広島大学）

  • 修士（理学）（広島大学）

e-Rad 研究者番号
40990502

所属学協会 2

  • 日本物理学会

    2024年7月 ～ 継続中

  • 日本数学会

研究分野 1

  • 自然科学一般 / 幾何学 / 低次元トポロジー

論文 9

  1. The OU number and Reidemeister moves of type III for link diagrams

    Naoki Sakata, Ayaka Shimizu, Koya Shimokawa

    Topology and its Applications　394　109986-109986　2026年12月

    出版者・発行元： Elsevier BV

    DOI： 10.1016/j.topol.2026.109986 　

    ISSN：0166-8641

  2. Dehn twist--crosscap slide presentations for involutions on non-orientable surfaces of genera up to 5

    Genki Omori, Naoki Sakata

    Tohoku Mathematical Journal　78　(3)　367-411　2026年9月1日

    出版者・発行元： Mathematical Institute, Tohoku University

    DOI： 10.2748/tmj.20250212 　

    ISSN：0040-8735

    eISSN：2186-585X

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    We give Dehn twist--crosscap slide presentations for involutions on non-orientable surfaces of genera up to 5.

  3. Characterization of non-self OU sequences of two-component link diagrams

    Naoki Sakata, Ayaka Shimizu, Koya Shimokawa

    Journal of Knot Theory and Its Ramifications　2026年8月5日

    出版者・発行元： World Scientific Pub Co Pte Ltd

    DOI： 10.1142/s0218216526500471 　

    ISSN：0218-2165

    eISSN：1793-6527

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    A non-self OU sequence is a cyclic sequence of crossing information of non-self crossings that is obtained by traversing a knot component of an oriented link diagram. In this paper, we investigate what information can be derived from non-self OU sequences, and we completely characterize pairs of non-self OU sequences of diagrams of two-component links. We also characterize the pairs for specific prime links with crossing number up to five.

  4. Stable configurations of entangled systems with repulsive interactions

    Motoko Kotani, Hisashi Naito, Naoki Sakata, Eriko Shinkawa

    Topology and its Applications　2026年6月

    DOI： 10.1016/j.topol.2026.109818 　

  5. Molecular Dynamics of Topological Barriers on the Crystallization Behavior of Ring Polyethylene Melts with Trefoil Knots

    Katsumi Hagita, Takahiro Murashima, Naoki Sakata, Koya Shimokawa, Tetsuo Deguchi, Erica Uehara, Susumu Fujiwara

    Macromolecules　56　(1)　15-27　2023年1月10日

    出版者・発行元： American Chemical Society ({ACS})

    DOI： 10.1021/acs.macromol.2c01843 　

    ISSN：0024-9297 1520-5835

  6. Handlebody decompositions of three-manifolds and polycontinuous patterns

    N. Sakata, R. Mishina, M. Ogawa, Kai Ishihara, Yuya Koda, Makoto Ozawa, Koya Shimokawa

    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences　478　(2260)　2022年4月

    出版者・発行元： The Royal Society

    DOI： 10.1098/rspa.2022.0073 　

    ISSN：1364-5021 1471-2946

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    <jats:p>We introduce the concept of a handlebody decomposition of a three-manifold, a generalization of a Heegaard splitting, or a trisection. We show that two handlebody decompositions of a closed orientable three-manifold are stably equivalent. As an application to materials science, we consider a mathematical model of polycontinuous patterns and discuss a topological study of microphase separation of a block copolymer melt.</jats:p>

  7. Mathematical Classification and Rheological Properties of Ring Catenane Structures

    Katsumi Hagita, Takahiro Murashima, Naoki Sakata

    Macromolecules　55　(1)　166-177　2022年1月11日

    出版者・発行元： American Chemical Society ({ACS})

    DOI： 10.1021/acs.macromol.1c01705 　

    ISSN：0024-9297 1520-5835

  8. Veering structures of the canonical decompositions of hyperbolic fibered two-bridge link complements

    Naoki Sakata

    Journal of Knot Theory and Its Ramifications　25　(04)　1650015-1650015　2016年4月

    出版者・発行元： World Scientific Pub Co Pte Lt

    DOI： 10.1142/s0218216516500152 　

    ISSN：0218-2165 1793-6527

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    <jats:p> In his previous work, the author proved that the canonical decompositions of hyperbolic fibered two-bridge link complements are layered. This implies that they admit taut structures. In this paper, we completely determine, for each hyperbolic fibered two-bridge link, whether the canonical decomposition of its complement is veering with respect to the taut structure. </jats:p>

  9. Canonical decompositions of hyperbolic fibered two-bridge link complements

    Naoki Sakata

    Topology and its Applications　196　821-845　2015年12月

    出版者・発行元： Elsevier {BV}

    DOI： 10.1016/j.topol.2015.05.054 　

    ISSN：0166-8641

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