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Papers

## Research Interest

Low-dimensional topology

## Publications and Preprint(s)

• Kai Ishihara, Yuya Koda, Makoto Ozawa, Koya Shimokawa,
Neighborhood equivalence for multibranched surfaces in $3$-manifolds (arXiv:1806.08919).

• Yuya Koda, Bruno Martelli, Hironobu Naoe,
Four-manifolds with shadow-complexity one (arXiv:1803.06713).

• Kenta Funayoshi, Yuya Koda,
Extending automorphisms of the genus-$2$ surface over the $3$-sphere (arXiv:1803.05116).

• Sangbum Cho, Yuya Koda,
The mapping class groups of reducible Heegaard splittings of genus two (arXiv:1702.05306).
to appear in Transactions of the American Mathematical Society.

• Sangbum Cho, Yuya Koda,
Haken spheres for genus two Heegaard splittings (arXiv:1512.06342).
to appear in Mathematical Proceedings of the Cambridge Philosophical Society.

• Sangbum Cho, Yuya Koda,
The disk complex and $2$-bridge knots (arXiv:1704.03658).
Journal of Knot Theory and its Ramifications 27 (2018), no.4, 1850027, 12 pp.
(Journal Page)

• Masaharu Ishikawa, Yuya Koda,
Stable maps and branched shadows of $3$-manifolds,
Mathematische Annalen 367 (2017), no. 3, 1819-1863. (Journal Page).

• Sangbum Cho, Yuya Koda,
Connected primitive disk complexes and genus two Goeritz groups of lens spaces,
International Mathematics Research Notices. IMRN 2016 (2016), no. 23, 7302-7340. (Journal Page).

• Sangbum Cho, Yuya Koda, Seo Arim,
Arc complexes, sphere complexes and Goeritz groups,
Michigan Mathematical Journal 65 (2016), no. 2, 333-351. (Journal Page).

• Yuya Koda, Makoto Ozawa,
Knot homotopy in subspaces of the $3$-sphere,
Pacific Journal of Mathematics 282 (2016), no. 2, 389-414. (Journal Page)

• Sangbum Cho, Yuya Koda,
Disk complexes and genus two Heegaard splittings for nonprime $3$-manifolds,
International Mathematics Research Notices. IMRN 2015 (2015), no. 12, 4344-4371. (Journal Page)

• Yuya Koda,
Automorphisms of the $3$-sphere that preserve spatial graphs and handlebody-knots,
Mathematical Proceedings of the Cambridge Philosophical Society 159 (2015), no. 1, 1-22. (Journal Page)

• Yuya Koda, Makoto Ozawa, with an appendix by Cameron Gordon,
Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors,
Transactions of the American Mathematical Society 367 (2015), no. 4, 2875-2904. (Journal Page)

• Sangbum Cho, Yuya Koda,
The genus two Goeritz group of $S^2 \times S^1$,
Mathematical Research Letters 21 (2014), no. 3, 449-460. (Journal Page)

• Sangbum Cho, Yuya Koda,
Primitive disk complexes for lens spaces (arXiv:1206.6243).

• Sangbum Cho, Yuya Koda,
Topological symmetry groups and mapping class groups for spatial graphs,
Michigan Mathematical Journal 62 (2013), no. 1, 131-142. (Journal Page)

• Yuya Koda, Taiji Taniguchi,
$(2+1)$-dimensional TQFT model for Colored Turaev-Viro invariants,
International Mathematics Research Notices. IMRN 2013 (2013), no. 1, 218-242. (Journal Page)

• Yuya Koda,
The Reidemeister-Turaev torsion of standard $\mathit{Spin}^c$ structures on Seifert fibered $3$-manifolds,
Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série 6 21 (2012), no. 4, 745-768. (Journal Page)

• Yuya Koda,
Links and spines,
Journal of Knot Theory and its Ramifications 21 (2012), no. 3, 1250027, 27 pp. (Journal Page)

• Yuya Koda,
Tunnel complexes of $3$-manifolds,
Algebraic & Geometric Topology 11 (2011), no. 1, 417-447. (Journal Page)

• Yuya Koda,
Colored Turaev-Viro invariants of twist knots,
Topology and its Applications 156 (2009), no. 3, 577-593. (Journal Page)

• Yuya Koda,
A Heegaard-type presentation of branched spines and the Reidemeister-Turaev torsion,
Mathematische Zeitschrift 260 (2008), no. 1, 203-228. (Journal Page)

• Yuya Koda,
Spines, Heegaard splittings and the Reidemeister-Turaev torsion,
Tokyo Journal of Mathematics 30 (2007), no. 2, 417-439. (Journal Page)

• Yuya Koda,
Branched spines and Heegaard genus of $3$-manifolds,
Manuscripta Mathematica 123 (2007), no. 3, 285-299. (Journal Page)

• Yuya Koda,
Strongly-cyclic branched coverings and the Alexander polynomial of knots in rational homology spheres,
Mathematical Proceedings of the Cambridge Philosophical Society 142 (2007), no. 2, 259-268. (Journal Page)