HIRASAWA Mikami

写真a

Affiliation Department etc.

Department of Electrical and Mechanical Engineering
Department of Computer Science
Center for Research and Development in Higher Engineering-Education

Title

Professor

Field of expertise (Grants-in-aid for Scientific Research classification)

  • Geometry

 

Papers

  • Sphere eversion from the viewpoint of generic homotopy

    Mikami Hirasawa, Minoru Yamamoto

    Topology and its Applications ( Elsevier )  223   13 - 29   2017.06  [Refereed]

    Research paper (scientific journal)   Single Author

    In 1958, Smale proved that any immersions of S^2
    to R^3 are regularly homotopic. This means that we can turn an embedded sphere in R^3 inside out by a regular homotopy. After Smale showed his result without visualization, many people visualized sphere eversions, in various ways. In this paper, we construct a sphere eversion by lifting a “simple” generic homotopy of S^2 to R^2 to a generic regular homotopy of S^2 to R^3. By doing so, our eversion is simple in terms of deformation of the contour generators of immersed spheres. We also visualize the 3-dimensional interlinking of the contour generators and the self-intersections of each stage of immersed spheres.

  • On stability of Alexander polynomials of knots and links (survey) [(共著)」

    Kunio Murasugi

    Banach Center Publicatins   100   85 - 98   2014.02  [Refereed]  [Invited]

    Research paper (scientific journal)   Multiple Authorship

    We study distribution of the zeros of the Alexander polynomials of knots and links.

  • Bridge presentations of virtual knots

    N.Kamada & S.Kamada

    Journal of knot theory and its ramifications   20 ( 6 ) 881 - 893   2011.06  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • Evaluations of the twisted Alexander polynomials of 2-bridge knots at ±1

    K. Murasugi

    Journal of knot theory and its ramifications   19 ( 10 ) 1355 - 1400   2010.08  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • Fibered torti-rational knots

    K. Murasugi

    Journal of knot theory and its ramifications   19 ( 10 ) 1291 - 1353   2010.08  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • When does a satellite knot fiber?

    K.Murasugi and D.Silver

    Hiroshima Journal of Math.   38 ( 3 ) 411 - 423   2008.11  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • Seifert surfaces in open books, and a new coding algorithm for links

    R.Furihata and T.Kobayashi

    Bull. London Math. Soc   40 ( 3 ) 405 - 414   2008.06  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • Obtaining string-minimizing, length-minimizing braid words for 2-bridge links

    M,Hirasawa

    Series on Knots and everything   40   43 - 50   2008.05  [Refereed]

    Research paper (scientific journal)   Single Author

  • Fibered double torus knots which are band-sums of torus knots

    K.Murasugi

    Osaka Journal of Math.     2007.03  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • Crosscap numbers of 2-bridge knots

    M.Teragaito

    Topology   45 ( 3 ) 513 - 530   2006.05  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

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Books

  • Polyhedora

    M. Hirasawa et al. (Part: Joint Translation )

    Suugaku shobou  2014.09 ISBN: 978-4-903342-78-8

Review Papers

Presentations

  • On flat plumbing baskets for links

    Mikami Hirasawa  [Invited]

    2nd Pan Pacific International Conference on Topology and Applications  (Pusan)  2017.11  -  2017.11  Pusan National University

  • Surfaces bounded by knotted circles and fibrations of knot complements

    Mikami Hirasawa  [Invited]

    数学物理セミナー  (ブリストル大学)  2017.01  -  2017.01  ブリストル大学 物理教室

  • Interlacing zeros of Alexander polynomials of links

    平澤美可三  [Invited]

    Knots in Hellas 2016  (International Olympic Academy, Ancient Olympia, Greece201607)  2016.07  -  2016.07  the National Technical University of Athens & Hellenic Mathematical Society

  • On the Distributions of the Zeros of Alexander Polynomials of Knots

    平澤美可三  [Invited]

    Quantum Topology Seminar   (イリノイ大学シカゴ校)  2015.08  -  2015.08 

  • On the zeros of the Alexander polynomials of quasi-rational knots

    平澤美可三

    国際数学者会議サテライトカンフェレンス Knots and Low Dimensional Manifolds  (韓国)  2014.08  -  2014.08  POSTECH

  • Figures in 3 and 4 dimensional spaces

    M. Hirasawa

    Graduate School of Natural Sciences Nagoya City University Seminar  2014.08  -  2014.08 

  • On the zeros of Alexander polynomials of knots

    M. Hirasawa

    61st Topology Symposium  2014.07  -  2014.07 

  • On the distributions of the zeros of Alexander polynomials of knots

    平澤美可三

    第13回セルビア数学会  (セルビア)  2014.05  -  2014.05  セルビア数学会

  • On coxeter links associated to cycle graphs

    Mikami Hirasawa

    Knot theory and its applications  (IISer)  2013.12  -  2013.12  Indian Institute of Science education and research

  • Introduction to the theory of rational knots

    M. Hirasawa

    Knotting Nagoya  2013.03  -  2013.03 

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