Research Papers, Talks, etc.

Research Papers ( my page on MathSciNet) (my page on zbMATH Open)

  1. Whitney's trick for three 2-dimensional homology classes of 4-manifolds, Proc. Amer. Math. Soc. 75 (1979), 365--371. [pdf available at the AMS site]
  2. The Matsumoto tripling for compact simply connected 4 manifolds, Tohoku Math. Journ. 31 (1979), 525--535 (joint with M. Kato et al.)
  3. Some new invariants of links, Invent. math. 54 (1979), 213--228 (joint with S. Kojima).
  4. L-groups of crystallographic groups, Invent. math. 88 (1987), 571--602. [See the errata "On controlled assembly maps" listed below.]
  5. Lattices of a Lie group and Seifert fibrations, Michigan Math. J. 35 (1988), 215--225.
  6. L-groups of virtually polycyclic groups, Topol. and its Appl. 33 (1989), 223--233.
  7. Maps between orbifolds, Proc. Amer. Math. Soc. 109 (1990), 223--232. [Errata, Proc. Amer. Math. Soc. 115 (1992), 875.
  8. Symmetric and quadratic complexes with geometric control, Proc. of TGRC-KOSEF 3 (1993), 139--152 (joint with A. Ranicki)
  9. Controlled K-theory, Topol. and its Appl. 61 (1995), 1--59. (joint with A. Ranicki) [For details of computation, see CK-memo.pdf.]
  10. Controlled L-theory (preliminary announcement), Surgery and geometric Topology, Proceedings of the 1996 Josai Conference, Special Issues of Science Bulletin of Josai University 2 (1997) 119 -- 136 (joint with A.Ranicki)
  11. Stability in Controlled L-theory, Geometry and Topology Monographs Vol.9: Exotic homology manifolds -- Oberwolfach 2003 (2006) pp. 67 -- 86. (joint with E.K.Pedersen)
  12. Controlled L-theory, Geometry and Topology Monographs Vol.9: Exotic homology manifolds -- Oberwolfach 2003 (2006) pp. 105 -- 153. (joint with A. Ranicki)
  13. 3-manifolds and 4-dimensional surgery, in Intelligence of Low Dimensional Topology 2006 (eds. J. Scott Carter et al.), pp. 361 -- 366, 2007 World Scientific Publishing Co. (previously titled "Knots, links and 4-dimensional surgery", revised and renamed on Aug. 22, 2006)
  14. On controlled assembly maps, RIMS Kôkyûroku Bessatsu B39 (2013), 197--214.
  15. Rotation numbers of regular closed curves on oriented aspherical surfaces, Josai Mathematical Monographs 13 (2021), 19--29.


  1. "Winding numbers of regular closed curves on aspherical surfaces" revised on August 10, 2017. (preprint)
  2. "Whitney-type formula for non-null-homotopic curves on aspherical surfaces" revised on September 28, 2017. (preprint)

Surveys, Talks, etc.

  1. On Surfaces in $S^3$, a talk at the RIMS Conference "Position Problem of Surfaces and Related Topics" (Sept. 1976).
  2. On Unorientable Surfaces in $S^3$, a talk at the RIMS Conference "Knots and Three Dimensional Manifolds" (Sept. 1978).
  3. Controlled Surgery Theory, Suugaku {\bf 50}, 1998, 282--292. [English TranslationFControlled Surgery Theory, Sugaku Expositions 13, 2000, 113--124.]
  4. Relatively simple chain complexes, Surikaisekikenkyusho Kokyuroku No. 1290 (2002), 104--107. This material was supposed to be included in the controlled K-theory paper.
  5. Surgery Theory and Geometry, a survey talk presented at the conference "Toward the Future of the Topology of Manifolds", 10 Oct. 2004.
    [manuscript(Japanese pdf-file)] [pdf-file for presentation(English)]
  6. Controlled surgery with good local fundamental groups, talk at the RIMS conference " New Evolution of Transformation Group Theory", 6 June -- 10 June, 2005.
  7. Hyperbolic knots and 4-dimensional surgery, a short note written in January, 2006. This is now obsolete. Get "3-manifolds and 4-dimensional surgery" (written in the summer of 2006) instead.
  8. "Knots, Homology, and Surgery", lectures at Okayama University, 18 and 25 Jan. 2006.
  9. "Knots and 4-dimensional surgery", a talk at the RIMS conference "Methods of transfornmation group theory", 22 May -- 26 May, 2006. [Decomposition of link complements-- manuscript for RIMS Kokyuroku]
  10. "Knots and 4-dimensional topological surgery", a talk at Hiroshima University, 23 July 2006. [pdf file for presentation:obsolete]
  11. A user's guide to the algebraic theory of surgery, a talk at Oberwolfach (Aug. 2006). [This is based on a memo I made while studying Ranicki's book " Algebraic L-theory and Topological Manifolds"]
  12. Surgery Theory in the 60's, pdf file of the slides for the talk at "Kinosaki School / Topology in the 60's" (March 12 -- 15, 2007).
  13. Assembly in Surgery, a talk at the RIMS conference "The Theory of Transformnation Groups and its Applications", 28 May -- 1 June, 2007.
  14. Local indices of a vector field at boundary singularities, a talk at the RIMS conference "Geometry of Transformation Groups and Related Topics", 19 May -- 23 May, 2008. (joint with H. Kamae)
  15. Shujutsu Riron no Nyumon (An introduction to surgery theory), a talk at "Workshop on Casson-Freedman Theory", 17 --20 October, 2009
  16. Local indices of vector fields, a talk at the Transformation Group Theory Workshop at Yamaguchi University, 14 February. 2010.
  17. On simplicial coordinate systems, a talk at the RIMS conference "Transformation Groups and Surgery Theory", 30 August -- 3 September, 2010. [Squeezing on a Certain L-spaces: manuscript for the proceedings based on the talk above.]
  18. Squeezing on an L-theory spectrum, a talk at "Workshop on Transformation Group Theory in Honor of Yasuhiko Kitada" (Campus Plaza Kyoto), February 12, 2011.
  19. Squeezing on a certain L-homology spectrum, a talk at the RIMS conference "Geometry of Transformation Groups and Combinatorics", June 13 -- 17, 2011.
  20. On Controlled Assembly Maps, a talk at the RIMS conference Developments of the geometry of transformation groups, 28 May -- 1 June, 2012.
  21. On 2-Spheres in Simply-connected 4-Manifolds, a talk at the symposium "Structures and Symmetries on Manifolds", (Okinawa-ken Seinen-Kaikan, Naha), March 12, 2013.
  22. On Squeezing, Univ. of Tokyo, June 27, 2014
  23. A Rigidity Result by Guentner-Tessera-Yu (in Japanese), "A Workshop on Novikov Conjecture" (Okayama University of Science, Okayama) , March 27, 2015.
  24. Rotation Numbers of Regular Closed Curves on Conformally Euclidean Surfaces (in Japanese), Spring Algebraic Topology Seminar -- Geometric Approaches (Okayama University of Science, Okayama), March 25--26, 2015.

Miscelaneous Manuscripts

  1. The union of quadratic complexes. This is a note I made trying to understand Andrew Ranicki's union construction of quadratic complexes, which is essential in the controlled L-theory paper.
  2. Splitting construction of quadratic Poincare complexes. This is a (still-not-finished) note I made trying to understand Andrew Ranicki's splitting construction of quadratic Poincare complexes, which is also essential in the controlled L-theory paper.
  3. Elementary Controlled Homotopy Theory. This is also an unfinished manuscript.
  4. Local indices of a vector field at an isolated zero on the boundary (the 4th version, joint with H. Kamae)

Students' Theses

  1. "Decomposition of Spaces into Simplices and Cells", Senior Thesis of Sachiko Tamura and Rie Namba (February 2006), in Japanese.
  2. "Knots and Bands", Senior Thesis of Rie Kanei, Mutsumi Shiraishi, Keisuke Nakaba, and Takanobu Maitani (February 2007), in Japanese.
  3. A Study on Topology of Surfaces, Knots and Manifolds, Senior Thesis of Mie Kataoka, Takuya Kinoshita, Yasuaki Kimura, Suguru Naito, and Yukari Yamaguchi (February 2008), in Japanese
  4. Vector Fields and Hair Whirls, Senior Thesis of Yoshitaka Izumi and Hiroaki Kamae (February 2008), in Japanese
  5. On Nukaga's Theorem, (A part of) Senior Thesis of J. Yoshinaga, S. Wakisaka, and H. Watanabe (February 2009), in Japanese. [English version]
  6. Rotation Numbers of Closed Curves on Spherical and Euclidean Surfaces, Senior Thesis of C. Hanaoka, S. Sakaguchi, T. Teraoka, K. Tsuro, S. Uehara, M. Yatsuka, T. Yokota (February 2016).