Kouki Taniyama
[Japanese Page]
Presentation slide 20200124
Papers
Site-specific Gordian distances of
spatial graphs, to appear in J.
Knot Theory
Ramifications. (arXiv:1703.09440)
Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral
null-homologous knot complements, Lobachevskii Journal of Mathematics,
39 (2018), no. 9, 1353-1361. (with Authors: K. Ichihara and I.
Jong) (arXiv:1709.09418)
Stick number of tangles, J. Knot
Theory Ramifications, 26 (2017), no. 13, 1750094, 9 pp. (with Y. Huh
and J. Lee)
Circle arrangements of link projections, Kobe J. Math., 34 (2017), no.
1-2, 27–36. (with N. Ito
and S. Matsuzaki)
Strong and weak (1,3) homotopies on knot projections, Osaka J. Math.,
52 (2015), no. 3, 617-646. (with N. Ito and Y. Takimura)
Discontinuous maps whose iterations are continuous, Nihonkai Math. J.,
25 (2014), no. 2, 119-125.（arXi:1310.1804）
Mapping a knot by a
continuous map, J. Knot Theory Ramifications, 23 (2014), no. 10,
1450052, 14 pp.（arXi:1409.0399）
Plane curves in an immersed graph in $R^2$, J. Knot Theory
Ramifications, 22 (2013) 1350003 (2013) [10 pages] DOI:
10.1142/S021821651350003X (with M. Sakamoto) （arXiv:1210.7315）
Multiplicity of a space over another space, J. Math. Soc. Japan, Vol.
64, No. 3 (2012), 823-849.（arXiv:1101.1700）
$\triangle Y$-exchanges and the Conway-Gordon theorems, J. Knot Theory
Ramifications, 21 (2012), No. 7, 1250067. (with R. Nikkuni)（arXiv:1104.0828）
On intrinsically knotted or completely 3-linked graphs, Pacific J.
Math., Vol. 252, No. 2, (2011), 407-425. (with R. Hanaki, R. Nikkuni,
and A. Yamazaki)（arXiv:1006.0698）
Braid presentation of spatial graphs, Tokyo J. Math. 33 (2010), no. 2,
509-522. (with K. Kanno) (arXiv:0901.1511)
Almost positive links have negative signature, J. Knot Theory
Ramifications, Vol. 19,
No. 2 (2010), 187–289. (with J.
Przytycki)（arXiv:0904.4130）
A graph-theoretic approach to a partial order of knots and links,
Topology Appl., 157 (2010), 1002–1010. (with T. Endo and T. Itoh) (arXiv:0806.3595)
Circle immersions that can be divided into two arc embeddings, Proc.
Amer. Math. Soc. 138 (2010), 743-751. (arXiv:0902.1478)
Symmetries of spatial graphs and Simon invariants, Fund. Math. 205
(2009), 219-236. (with R. Nikkuni) (arXiv:0708.0066)
Unknotting numbers of diagrams of a given nontrivial knot are
unbounded, J. Knot Theory
Ramifications, 18 (2009),
no.
8, 1049-1063. (arXiv:0805.3174)
An irreducible rectangle tiling contains a spiral, Journal of Geometry,
90 (2008), 175-184. (with T. Motohashi) pdf
file
2-irreducibility of spatial graphs, J. Knot Theory
Ramifications, 15 (2006),
no. 1, 31-41. (with F. Lei and G. Zhang) pdf
file
Newly found forbidden graphs for trivializability, J. Knot Theory
Ramifications, 14 (2005),
no. 4, 523-538. (with R.
Nikkuni, M. Ozawa, and Y. Tsutsumi) pdf
file
Identifiable projections of spatial graphs, J. Knot Theory
Ramifications, 13 (2004),
no. 8, 991-998. (with Y. Huh) pdf
file
A large complete graph in a space contains a link with large link
invariant, J. Knot Theory
Ramifications, Vol. 12,
No. 7
(2003), 915-919. (with M. Shirai) pdf
file
Homology classification of spatial graphs by linking numbers and Simon
invariants, Topology Appl., vol. 134, 53-67, (2003). (with R. Shinjo) pdf
file
Local moves on spatial graphs and finite type invariants, Pacific J.
Math., vol. 211, 183-200, (2003). (with A. Yasuhara)
Band description of knots and Vassiliev invariants, Math. Proc.
Cambridge Philos. Soc., 133 (2002), no. 2, 325-343. (with A. Yasuhara)
Clasp-pass moves on knots, links and spatial graphs, Topology and its
Applications, 122 (2002), no. 3, 501-529. (with A. Yasuhara)
Realization of Vassiliev invariants by unknotting number one knots,
Tokyo J. Math., 25 (2002), no. 1, 17-31. (with Y. Ohyama and S. Yamada)
Dividing a topological space into mutually disjoint and mutually
homeomorphic subspaces, Topology and its Applications, 122 (2002),
421-423.
Irreducibility of spatial graphs, J. Knot Theory
Ramifications, 11, (2002),
121-124. pdf
file
Vassiliev invariants of knots in a spatial graph, Pacific Journal of
Mathematics, 200 (2001), 191-205. (with Y. Ohyama)
The Kanenobu-Miyazawa conjecture and the Vassiliev-Gusarov skein
modules based on mixed crossings. Proc. Amer. Math. Soc. 129 (2001),
2799-2802. (with J. Przytycki)
Realization of knots and links in a spatial graph, Topology Appl. 112
(2001), no. 1, 87--109. (with A. Yasuhara)
Higher dimensional links in a simplicial complex embedded in a sphere,
Pacific J. Math. 194 (2000), no. 2, 465-468.
Regular projections of knotted handcuff graphs, J. Knot Theory
Ramifications, 7 (1998),
509-517. (with C. Yoshioka)
Total curvature of graphs in Euclidean spaces, Differential Geometry
and its Applications, 8, (1998), 135-155.
Knotted subgraphs in a spatial graph, Kobe Journal of Mathematics, 14
(1997), 207--212.
Delta unknotting operation and vertex homotopy of graphs in $R^3$,
Proceedings of Knots 96 Tokyo, (S. Suzuki ed.), World Scientific Publ.
Co., (1997), 185-200. (with T. Motohashi)
Knot-inevital projections of planar graphs, J. Knot Theory
Ramifications, 5 (1996),
877-883. (with T. Tsukamoto)
Homology classification of spatial embeddings of a graph, Topology and
its Applications, 65 (1995), 205-228.
Knotted projections of planar graphs, Proceedings of the American
Mathematical Society, 123, (1995), 3575-3579.
On $C$-distance of knots, Kobe Journal of Mathematics, 11, (1994),
117-127. (with A. Yasuhara)
Yamada polynomial and crossing number of spatial graphs, Revista
Matematica de la Universidad Complutense de Madrid, 7, (1994), 247-277.
(with T. Motohashi and Y. Ohyama)
Cobordism, homotopy and homology of graphs in $R^3$, Topology, 33,
(1994), 509-523.
Link homotopy invariants of graphs in $R^3$, Revista Matematica de la
Universidad Complutense de Madrid, 7, (1994), 129-144.
Cobordism of theta curves in $S^3$, Mathematical Proceedings of
Cambridge Philosohical Society, 113, (1993), 97-106.
On
unknotting operations of two-bridge knots, Mathematische Annalen,
291, (1991), 579-589.
Unknotting
operations involving trivial tangles, Osaka Journal of
Mathematics, 27, (1990), 555-566. (with J. Hoste and Y. Nakanishi)
A partial
order of links, Tokyo Journal of Mathematics, 12, (1989), 475-484.
A partial
order of knots, Tokyo Journal of Mathematics, 12, (1989), 205-229.
Kouki Taniyama
Department of Mathematics, School of Education, Waseda University