Publications

Journal articles

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

Preprints

1. Eri Hatakenaka. Reconstructing Turaev–Viro Invariants from Four-Fold Simple Branched Covering Presentations. Preprint, 2026. Submitted for publication.
   arXiv:2608.13241
2. Eri Hatakenaka. On the Dijkgraaf–Witten invariant and the quandle cocycle invariant. Preprint.
   Preprint PDF

Expository articles and proceedings

1. Eri Hatakenaka and Takefumi Nosaka. A survey: 4-fold symmetric quandle invariants of 3-manifolds. RIMS Kôkyûroku 1716 (2010), 6–24. Non-refereed survey.
   PDF
2. Eri Hatakenaka. Invariants of 3-manifolds derived from their covering presentations. Proceedings of the 51st Topology Symposium (2004), 1–13.
3. Eri Hatakenaka. Quandle cocycle invariant による surface-knot の triple point number の評価. Proceedings of “結び目のトポロジーV” (2003), 226–234. [In Japanese.]