KITANO Teruaki(Professor)


Specialized field Geometry
Classes Special Studies in Basic Education 1
Calculus 1
Case Study 1
Case Study 2
Seminar 1
Seminar 2
Complex-variable Functions
Mathematical Programming
Introduction to Geometry
History of Mathematics
Special lectures on Geometry
Thesis Study 1
Thesis Study 2
Information mathematical science II
Selected Topics on Mathematical Information System Theory
Advanced Research of Mathematical Information System Theory
Advanced Course of Information Systems
Advanced Study of Information Systems
Independent Study IV
Research theme topological invariants of 3-manifolds

Application for coverage

Detail of researcher information

Laboratory website

Information Systems Science of Graduate school of engineering

  • Disciplinary Topology
    Research Theme Reisemeister torsion of a 3-manifold for SL(2;C)-representations
    Publications (1)H. GODA, T. KITANO and T. MORIFUJI; Reidemeister torsion, twisted Alexander polynomial and fibered knots, Comment. Math. Helv. 80(2005), 51--61.

    (2)T.KITANO and T. MORIFUJI; Divisibility of twisted Alexander polynomials and fiberd knots, Annali della Scuola Normale Superiore, 5(2005), 179--186.

    (3)T. KITANO, M. SUZUKI and M. WADA; Twisted Alexander polynomials and surjectivity of a group homomorphism, Algebr. Geom. Topol. 5 (2005), 1315--1324.

    (4)T. KITANO and M. SUZUKI; A partial order in the knot table, Exp. Math. 14(2005), 385--390.

    (5)T. KITANO and M. SUZUKI; On the existence of a surjective homomorohism between knot groups, in Intelligence of Low Dimensional Topology 2006. World Scientific.

    (6)T. KITANO and M. SUZUKI; Twisted Alexander polynomials and a partial order on the set of prime knots, Geometry and Topology Monographs 13 (2008), Groups, Homotopy and Configuration Spaces (Tookyo 2005), 307--322.

    (7)T. KITANO and T. MORIFUJI; $L^2$-torsion invariants and the Magnus representation of the mapping class group, Groups of Diffeomorphisms, Advanced Studies in Pure Mathematics Volume 52 (2008), Math. Soc. of Japan.

    (8)T. KITANO and M. SUZUKI; A Partial Order in the Knot Table II, Acta Mathematica Sinica 24 (2008), 1801--1816.

    (9)T. Kitano and M. Suzuki, On the number of SL(2;Z/pZ)-representations of knot groups. J. Knot Theory Ramifications 21 (2012), no. 1, 1250003, 18 pp.

    (10)T. Kitano and T. Morifuji, Twisted Alexander polynomials for irreducible SL(2,C)-representations of torus knots. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 11 (2012), no. 2, 395–406.
    Membership of Academic Societies Mathematical Society of Japan