畠中英里 研究室 Eri Hatakenaka

論文

論文・プレプリント

  1. Eri Hatakenaka and Takao Satoh, “On the rings of Fricke characters of free abelian groups”, Journal of Commutative Algebra, vol. 7(4), p.545–565 (2015).
  2. Eri Hatakenaka and Takao Satoh, “On the graded quotients of the rings of Fricke characters of free groups”, Journal of Algebra, vol.430, p.94–118 (2015).
  3. Eri Hatakenaka and Takefumi Nosaka, “Some topological aspects of 4-fold symmetric quandle invariants of 3-manifolds”, International Journal of Mathematics, 23, 1250064 (31 pages), 2012.
  4. Eri Hatakenaka, “On the Dijkgraaf-Witten invariant and the quandle cocycle invariant”, preprint.
    preprint PDF
  5. Eri Hatakenaka, “Invariants of 3-manifolds derived from covering presentations”, Mathematical Proceedings of the Cambridge Philosophical Society, 149, pp.263–295, 2010.
  6. Eri Hatakenaka, “An estimate of the triple point numbers of surface-knots by quandle cocycle invariants”, Topology and its Applications, 139, pp.129–144, 2004.

報告集

  1. Eri Hatakenaka and Takefumi Nosaka, “A survey: 4-fold symmetric quandle invariants of 3-manifolds”, 数理解析研究所講究録1716, Intelligence of Low-dimensional Topology, pp.6–24, 2010年10月（査読なし）.
  2. 畠中英里, “Invariants of 3-manifolds derived from their covering presentations”, 第51回トポロジーシンポジウム講演集, pp.1–13, 2004.
  3. 畠中英里, “Quandle cocycle invariant による surface-knot の triple point number の評価”, 「結び目のトポロジーⅤ」報告集, pp.226–234, 2003.