Naoko KAMADA
| Division | Mathematical and Material Science, Professor |
|---|---|
| Academic Degree | Ph.D. |
Contents of page
Research Field
Topology
Keywords
Topology, Knot Theory, Invariant
Current Research Topics
In knot theory, we study closed 1-dimensional manifolds in a 3-dimensional space. To classify knots, we define a knot invariant. A knot invariant is a map from the set of knots to a mathematical object, such as a group, a ring and so on. The fundamental group of the knot complement, Alexander polynomial and Jones polynomial are knot invariants. I am interested in knot invariants.
Selected Publications
Original Articles
Span of the Jones polynomial of an alternating virtual link, Algebraic and Geometric Topology, 4(2004), pp. 1083-1101, N. Kamada
A relation of Kauffman’s f-polynomials of virtual links, Topology and its Application, 146-147 (2005), pp. 123-132, N. Kamada
Some relations on Miyazawa’s virtual knot invariant, Topology and its Application, 154(2007), pp. 1417-1429, N. Kamada
The virtual magnetic Kauffman bracket skein module and skein relations for the f-polynomial, Journal of Knot Theory and its Ramifications, 17(2008), pp. 675-688, A. Ishii, N. Kamada and S. Kamada
The polynomial invariants of twisted links, Topology and its Application, 157(2010), pp. 220-227 , N. Kamada
Bridge presentations of virtual knots, Journal of Knot Theory and its Ramifications, 20(2011), pp. 881-893, M. Hirasawa, N. Kamada and S. Kamada
A relation of Kauffman’s f-polynomials of virtual links, Topology and its Application, 146-147 (2005), pp. 123-132, N. Kamada
Some relations on Miyazawa’s virtual knot invariant, Topology and its Application, 154(2007), pp. 1417-1429, N. Kamada
The virtual magnetic Kauffman bracket skein module and skein relations for the f-polynomial, Journal of Knot Theory and its Ramifications, 17(2008), pp. 675-688, A. Ishii, N. Kamada and S. Kamada
The polynomial invariants of twisted links, Topology and its Application, 157(2010), pp. 220-227 , N. Kamada
Bridge presentations of virtual knots, Journal of Knot Theory and its Ramifications, 20(2011), pp. 881-893, M. Hirasawa, N. Kamada and S. Kamada
