Naoko KAMADA

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

Faculty Members