Yukio Matsumoto

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Yukio Matsumoto ( Japanese 松本 幸 夫 , Matsumoto Yukio ; * 1944 ) is a Japanese mathematician who studies geometric topology and the topology of low-dimensional manifolds. He was a professor at Tokyo University .

Matsumoto received his doctorate in 1973 from the University of Tokyo under Ichirō Tamura ( Knot cobordism groups and surgery in codimension two ). From 1969 he was a lecturer, from 1974 associate professor and from 1979 professor at the University of Tokyo. After his retirement he was at Gakushuin University.

In 1984 he received the Iyanaga Prize from the Japanese Mathematical Society .

Fonts

  • An Introduction to Morse theory , American Mathematical Society 2001
  • Editor with Shigeyuki Morita: Aspects of low dimensional manifolds, Advanced Studies in Pure Mathematics , Mathematical Society of Japan, 1992
  • with Gerard Venema: Failure of the Dehn lemma on contractible 4-manifolds , Inventiones Mathematicae, Volume 51, 1979, pp. 205-218
  • Wild embeddings of piecewise linear manifolds in codimension two , Geometric Topology, 1979, pp. 393-428
  • Knot cobordism groups and surgery in codimension two , Journal of the Faculty of Science, University of Tokyo Section IA, Math., Vol. 20, 1973, pp. 253-317
  • An elementary proof of Rochlin's signature theorem and its extension by Guillou and Marin , in: Lucien Guillou, Alexis Marin (ed.), A la recherche de la topologie perdu, Birkhäuser, Progress in Mathematics 62, 1986, pp. 119-139
  • Diffeomorphism types of elliptic surfaces , Topology, Volume 25, 1986, No. 4
  • with H. Doi, T. Matumoto: An explicit formula of the metric on the moduli space of BPST instantons over , in: S. Morita, Y. Matsumoto, T. Mizutani (eds.), A Fete of Topology: Papers dedicated to Ichiro Tamura, Academic Press 1988
  • with JM Montesinos: A proof of Thurstons uniformization theorem of geometric orbifolds , Tokyo J. Math., Volume 14, 1991, pp. 181-196
  • with J: M: Montesinos: Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces , Bulletin AMS, Volume 30, 1994, pp. 70-75
  • with Mitsuyoshi Katō : Simply connected surgery of submanifolds in codimension two . I, J. Math. Soc. Japan, Vol. 24, 1972, pp. 586-608

Web links

Individual evidence

  1. Yukio Matsumoto in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used