谷山公規論文リスト
論文
$\triangle Y$-exchanges and the Conway-Gordon
theorems, to appear in Journal of Knot Theory
and Its Ramifications. (with R. Nikkuni) (arXiv:1104.0828)
Multiplicity of a space over another space,
to appear in Journal of the Mathematical Society of Japan.（arXiv:1101.1700）
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:math.GT/0901.1511)
Almost positive links have negative signature, Journal of Knot Theory
and Its 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:math.GT/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:math.GT/0708.0066)
Unknotting numbers of diagrams of a given nontrivial knot are
unbounded, Journal of
Knot Theory and its
Ramifications, 18 (2009), no. 8, 1049-1063. (arXiv:math.GT/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, Journal of
Knot Theory and its
Ramifications, 15 (2006), no. 1, 31-41. (with F. Lei and G. Zhang)
pdf
file
Newly found forbidden graphs for
trivializability, Journal of Knot
Theory and its Ramifications, 14 (2005), no. 4, 523-538. (with R.
Nikkuni,
M. Ozawa, and Y. Tsutsumi) pdf
file
Identifiable projections of spatial
graphs, Journal of Knot Theory
and its 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, Journal of Knot Theory and its 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, Journal
of Knot Theory and its
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--467.
Regular projections of knotted handcuff graphs, Journal of Knot
Theory and its 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, Journal of Knot Theory
and Its 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 $C$-diatance 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.
プレプリント
coming soon
研究集会報告集原稿など
Symmetries of spatial graphs and Simon invariants,
(新國亮氏(金沢大学教育学部)との共同研究),
研究集会「結び目のトポロジーIX」報告集, 2007年 pdf
file
Knots and links in spatial graphs, 京都大学数理解析研究所講究録「明日の低次元トポロジー」,
2002. pdf file
On tori in $\theta_m\times S^1$ embedded in $R^4$, Proceedings of
Applied Mathematics Workshop, 8, The 5th Korea-Japan School of Knots
and Links, (G. T. Jin and K. H. Ko ed.), KAIST, 309-313. (with J.
Tomikawa)
On a Vassiliev type invariant for graphs in $R^3$, Proceedings of
Applied Mathematics Workshop, 8, The 5th Korea-Japan School of Knots
and
Links, (G. T. Jin and K. H. Ko ed.), KAIST, 219-225. (with Y. Ohyama)
On spatial graphs, Lectures at Knots 96, (S. Suzuki ed.), World
Scientific
Publ. Co., (1997).
On embeddings of a graph into $R^3$, Contemporary Mathematics, 164,
(1994), 239-246.
On similarity of links, Gakujutsu Kenkyu, School of Education, Waseda
University, Series of Matematics, 41, (1993), 33-36.
谷山公規
早稲田大学教育学部数学科