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Department of Mathematics

Faculty of Science

Kochi University

Assistant Professor


	Mathematical keywords :
	3-manifold topology, knot theory

Toru Ikeda

Kochi University　　Graduate school　　Faculty　　Department

Papers

Tajima J., keda, T. : High Quality Color Image Quantization, utilizing Human Vision Characteristics, J. of Insttute of Image Electronics Engineers of Japan, 18 (1989), 293--301, in Japanese.

Ikeda, T. : Atoroidal decompositions of link exteriors, Kobe J. of Math. 9 (1992), 71--88. .

Ikeda, T. : Twisting of knots along knotted solid tori, Tokyo J. of Math. 16 (1993), 147--154.

Ikeda, T. : Link types under twisting solid tori with essential boundaries, Revista Matematica. de la Universidad Complutense de Madrid 7 (1994), 101--118.

Okazaki, S., Fujita, Y., Yamashia, N., Ikeda, T. : Integrated memory array processor and real-time vision system for vehicle control, International Conference on Vehicle Navigation & Information Systems (VNIS '94) (1994), 103--106.

Ikeda, T., Ohnaka, S., Mizoguchi, M. : Vehicle detection for traffic measurement using edge and background image, Proc. of ITS '95 Yokohama Vol I, T01.4-3 (1995), 206--211.

Ikeda, T., Ohnaka, S., Mizoguchi, M. : Traffic measurement with a roadside vision system －indivisual tracking of ovelapped vehicles－, Proc. of 13th ICPR Vol. III (1996), 859--864.

Ikeda, T. : A topological approach to the Nielsen's realization problem for Haken 3-manifolds, Yokohama Math. J. 48 (2000), 139--172.

Ikeda, T. : Finite group actions on 3-manifolds, thesis (2000).

Ikeda, T. : PL finite group actions on 3-manifolds which are conjugate by homeomorphisms, Houston J. Math. 28 (2002), 133--142.

Ikeda, T. : Essential surfaces in graph link exteriors, Canad. Math. Bull. 52 (2009), 257--266.

Ikeda, T. : Boundaries of incompressible surfaces in graph knot exteriors, J. Knot Theory Ramifications 19 (2010), 71--79.

Ikeda, K., Ikeda, T., Kawakami, T., Sugimoto, H., Sugiura, T., Yagi, J. and Yamanaka, S. : Goeritz invariants of two-bridge links and torus links, Kochi J. Math. 5 (2010), 163--172.

Ikeda, T. : Involutions of graph link exteriors whose fixed point sets are closed surfaces, Bull. Aust. Math. Soc. 81 (2010), 298--303.

Ikeda, T. : Aspherical symmetries of graph links, J. Knot Theory Ramifications 19 (2010), 449--460.

keda, T. : Graph manifolds with certain peripheralities, Topology Proc. 37 (2011), 107--117 (E-published on May 12, 2010).

Ikeda, T. : Graph links with boundary component preserving symmetries of the exteriors, J. Knot Theory Ramifications 20 (2011), 1669--1683.

Ikeda, T. : Finite group actions on homologically peripheral 3-manifolds, Math. Proc. Cambridge Philos. Soc. 151 (2011), 319--337.

Ikeda, T. : Hyperbolic spatial graphs in 3-manifolds, Topology Appl. 159 (2012), 279--282.

Ikeda, T. : Symmetries of spatial graphs and rational twists along spheres and tori, Symmetry 4 (2012), 26--38, special issue on Symmetry and Beauty of Knots..

Ikeda, T. : Homologically peripheral hyperbolic links which are not partially peripheral, J. Knot Theory Ramifications 21 (2012), 1250093, 6pp.

Horikawa, J., Ikeda, T. : The $p$-coloring classes of twisted torus knots $T(m,n,r,s)$ for $n\equiv\pm2\mod m$, Kochi J. Math. 8 (2013), 53--90.

Ikeda, T., Sugimoto, H. : Goeritz invariants of pretzel links, J. Geom. 104 (2013), 127--136.

Ikeda, T. : Spatial graph exteriors realizing given JSJ decomposition graphs, J. Knot Theory Ramifications 22 (2013), 1350020, 9pp.

Ikeda, T. : Rigidly achiral hyperbolic spatial graphs in 3-manifolds, J. Knot Theory Ramifications 22 (2013), 1350039, 12pp.

Ikeda, T. : Cyclically symmetric hyperbolic spatial graphs in 3-manifolds, to appear in Geom. Dedicata

Ikeda, T. : Partially peripheral hyperbolic links and spatial graphs, to appear in Topology Proc..

Preprints

Ikeda, T. : Symmetries of links in 3-manifolds obtained from 0-framed boundary links in homology spheres, preprint.

Ikeda, T. : Every finite group action on a compact 3-manifold preserves infinitely many hyperbolic spatial graphs, preprint.

Ikeda, T. : Involution of hyperbolic link exteriors whose fixed point sets are closed surfaces, preprint.

Other reports

Tajima, J., Ikeda T.,: Application of human vision characteristics to color image quantization, IPSJ technical report, 89-CG-38 (1989), in Japanese.

Ikeda, T.: Atoroidal decompositions of link exteriors, Knot theory and its applications (1991), 126--133), in Japanese.

Ikeda, T.: Twisting of knots along knotted solid tori, Tsuda Topology symposium "Knot Theory and Topology of Low Dimensional Manifolds", (1992), 138--146), in Japanese.

Ikeda T., Ohnaka, S., Mizoguchi, M. : Vehicle Detection Using Edge And Background Image, IEICE technical report, PRU94-78; IPSJ technical report, CG94-72-7 (1994)), in Japanese.

Ikeda T., Ohnaka, S., Mizoguchi, M. : Traffic measurement with a roadside vision system -- Individual tracking of overlapped vehicles --, IEEJ, RTA-96-9 (1996), in Japanese).

Ikeda T., Ohnaka, S., Mizoguchi, M. : Background image generation with quick adaptation to uniform image fluctuations, IEICE technical report PRMU97-7 (1997)), in Japanese.

Ikeda T., Ohnaka, S., Mizoguchi, M. : Vehicle detection algorighms by image processing, NEC technical journal 50-7 (1997), 126－130), in Japanese.

Ikeda, T.: The realization problem for Haken manifolds and construction of periodic maps, Art of Low Dimensional Topology IV (1998), 23--40), in Japanese.

Ikeda, T.: Nielsen realization problem for 3-dimensional Seifert manifolds, Topology of knots (1999), 1--18), in Japanese.

Ikeda, T. : Topological symmetries and partially peripheral 3-manifolds, Research Reports of Kochi Medical School 18 (2002), 41--55), in Japanese.

T. Ikeda : Finite Group Actions and 3-Manifold Topology, Toward the Future of the Topology of Manifolds (2004), in Japanese .

Ikeda, T. : Boundaries of incompressible surfaces in graph knot exteriors, Topology of knots X (2008), in Japanese.