主な論文・著書 |
著書:
(1) 北野晃朗,合田洋,森藤孝之
ねじれAlexander不変量,183頁,
数学メモアール第5巻,日本数学会.
(2) 渡辺治 ・北野晃朗 ・木村泰紀 ・谷口雅治,
数学の言葉と論理, 朝倉書店 シリーズ 現代基礎数学 1
主な論文(2005年以降):
(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, Teruaki 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.
(11)北野晃朗, ねじれ Alexander多項式の20年: Alexander多項式の精密化とその応用, 数学, 65 (2013), no. 4, 360–384.
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