Yasutaka NAKANISHI

Yasutaka NAKANISHI

Department of Mathematics,
Graduate School of Science, Kobe University
Division : Geometry
Professor
Building B, Room 216


Research Field : Knot Theory: A study of knots from a view point of local moves.

Research Summary : Knots are very familiar with human being. Knots are naive objects, but they have incredibly rich structures, which cannot be described all by the topology of our time. My research is to study which kinds of structures are keeping or brokken by local moves.

Primary Publications :
  1. Y. Nakanishi and M. Yamada: On Turk's Head Knots, Kobe J. Math. Vol. 17 no. 2 (2000), 119-130.
  2. Y. Nakanishi and K. Nishizawa: On two dimensional knnots with reciprocal polynomials, Journal of Knot Thory and Its Ramifications, Vol. 10 no. 6 (2001), 841-850.
  3. Y. Nakanishi and Y. Ohyama: Delta link homotopy for two component links, II, Journal of Knot Thory and Its Ramifications, Vol. 11 (2002), 353--362.
  4. Y. Nakanishi and Y. Ohyama: Delta link homotopy for two component links, III, Journal of Mathematical Society of Japan, 55-3 (2003, JULY), 641--654.
  5. Y. Nakanishi: A note on unknotting number, II, Journal of Knot Theory and Its Ramifications, Vol. 14, No. 1 (February 2005), 3--8.
  6. Y. Nakanishi and Y. Ohyama: Knots with given finite type invariants and Conway polynomials, Journal of Knot Theory and Its Ramifications, Vol. 15, No. 2 (February 2006), 205--215.