Naoko KAMADAProfessor, Ph.D. | ||
E-mail: kamada TEL: +81-52-872-5854 FAX: +81-52-872-5854 Research Course: Mathematical and Material Science |
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URL http://www.nsc.nagoya-cu.ac.jp/~kamada/kamadaE.html | ||
Specialties | Topology | |
Keywords | Topology, Knot Theory, Invariant | |
Current Research | 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 Papers |
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 |