Faculty members in Department of Information Systems Science

Teruaki Kitano

Teruaki Kitano Professor

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Research Theme

Reisemeister torsion of a 3-manifold for SL(2;C)-representations


(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

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