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KITANO Teruaki

Profile Research field Education Activities Research achievement On-Campus Activities Off-Campus Activities

 

Published Papers
No.Title URL, Journal, Vol( Number), From Page- To Page, Publication date, DOI 
1
An algebraic property of Reidemeister torsion , Transactions of the London Mathematical Society, 9( 1), 136- 157, Dec. 2022, https://doi.org/10.1112/tlm3.12049 
2
Twisted Alexander polynomials of torus links , Journal of Knot Theory and its Ramifications, 29( 4),  , Apr. 2020, https://doi.org/10.1142/S0218216520500169 
3
Finiteness of the image of the reidemeister torsion of a splice , Annales Mathematiques Blaise Pascal, 27( 1), 19- 36, 2020, https://doi.org/10.5802/ambp.389 
4
A polynomial defined by the SL(2; C)-Reidemeister torsion for a homology 3-sphere obtained by a Dehn surgery along a {p, q)-torus knot , Tohoku Mathematical Journal, 69( 4), 571- 583, Dec. 2017, https://doi.org/10.2748/tmj/1512183630 
5
A note on Riley polynomials of 2-bridge knots , Ann. Fac. Sci. Toulouse Math. (6), 26( 5), 1211- 1217, 2017,  
6
Reidemeister torsion of a 3-manifold obtained by an integral dehn-surgery along the figure-eight knot , Kodai Mathematical Journal, 39( 2), 290- 296, 2016, https://doi.org/10.2996/kmj/1467830138 
7
Erratum: A partial order on the set of prime knots with up to 11 crossings , Journal of Knot Theory and its Ramifications, 21( 4), 275- 303, Apr. 2012, https://doi.org/10.1142/S0218216511010048 
8
On the number of SL(2;ℤ/pℤ)-representations of knot groups , Journal of Knot Theory and its Ramifications, 21( 1),  , Jan. 2012, https://doi.org/10.1142/S021821651100973X 
9
Twisted Alexander polynomials for irreducible SL(2, C)-representations of torus knots , ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 11( 2), 395- 406, 2012,  
10
A partial order on the set of prime knots with up to 11 crossings , Journal of Knot Theory and its Ramifications, 20( 2), 275- 303, Feb. 2011, https://doi.org/10.1142/S0218216511008747 
11
Erratum to the article twisted alexander polynomials and surjectivity of a group homomorphism , Algebraic and Geometric Topology, 11( 5), 2937- 2939, 2011, https://doi.org/10.2140/agt.2011.11.2937 
12
Erratum: A partial order in the knot table (Experimental Mathematics (2005) 14 (385-390)) , Experimental Mathematics, 20( 3), 371- 371, 2011, https://doi.org/10.1080/10586458.2011.605735 
13
Twisted Alexander polynomials and a partial order on the set of prime knots , Geometry and Topology Monographs, 13,  307-322- , Sep. 2009,  
14
A partial order in the knot table II , Acta Mathematica Sinica, English Series, 24( 11), 1801- 1816, Nov. 2008, https://doi.org/10.1007/s10114-008-6269-2 
15
Reidemeister torsion, twisted Alexander polynomial and fibered knots , Commentarii Mathematici Helvetici, 80( 1), 51- 61, 2005, https://doi.org/10.4171/CMH/3 
16
Divisibility of twisted Alexander polynomials and fibered knots , Annali della Scuola Normale - Classe di Scienze, 4( 1), 179- 186, 2005,  
17
Twisted Alexander polynomials and surjectivity of a group homomorphism , ALGEBRAIC AND GEOMETRIC TOPOLOGY, 5,  1315- 1324, 2005, https://doi.org/10.2140/agt.2005.5.1315 
18
A partial order in the knot table , Experimental Mathematics, 14( 4), 385- 390, 2005, https://doi.org/10.1080/10586458.2005.10128937 
19
L2-torsion invariants of a surface bundle over S1 , Journal of the Mathematical Society of Japan, 56( 2), 503- 518, 2004, https://doi.org/10.2969/jmsj/1191418642 
20
L2-torsion invariants and homology growth of a torus bundle over S1 , Proceedings of the Japan Academy Series A: Mathematical Sciences, 79( 4), 76- 79, Apr. 2003, https://doi.org/10.3792/pjaa.79.76 
21
On the first Morita-Mumford class of surface bundles over S1 and the Rochlin invariant , Journal of Knot Theory and its Ramifications, 9( 2), 179- 186, Mar. 2000, https://doi.org/10.1142/S0218216500000086 
22
Twisted alexander polynomial and Reidemeister torsion , Pacific Journal of Mathematics, 174( 2), 431- 442, Jun. 1996, https://doi.org/10.2140/pjm.1996.174.431 
23
Johnson's homomorphisms of subgroups of the mapping class group, the Magnus expansion and Massey higher products of mapping tori , Topology and its Applications, 69( 2), 165- 172, 1996, https://doi.org/10.1016/0166-8641(95)00077-1 
24
Reidemeister torsion of the figure-eight knot exterior for SL(2; C)-representations , Osaka Journal of Mathematics, 31( 3), 523- 532, Sep. 1994,  
25
Reidemeister torsion of Seifert fibered spaces for SL(2;C)-representations , Tokyo Journal of Mathematics, 17( 1), 59- 75, Jun. 1994, https://doi.org/10.3836/tjm/1270128187 

 

Research Grants & Projects
No.Offer organization, System name, Title, Fund classification, Date 
1
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Torsion invariants for hyperbolic manifolds, ,  Apr. 2015 - Mar. 2019 
2
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Pro-finite completion of a 3-manifold group and its relation to topological invariants, ,  Apr. 2013 - Mar. 2017 
3
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Studies on partial orders on sets of 3-manifolds defined by epimorphisms between fundamental groups., ,  2009 - 2011 
4
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Geometry of Groups and Moduli Spaces (2), ,  2007 - 2009 
5
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Study on topological invariants derived from linear representations over a finite field of fundamental groups and geometric structures of 3-manifolds, competitive_research_funding,  2005 - 2008 
6
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Geometry of Groups and Moduli Spaces, ,  2004 - 2006 
7
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Various inbariants appearing in low-dimensional topology, ,  2003 - 2006 
8
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Conformal Field Theory and Witten Invariant, ,  2003 - 2004 
9
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Gauge Theory and 3-Dimensional Manifolds, ,  2001 - 2002 
10
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Gauge Theory and 3-Dimensional Manifolds, ,  1999 - 2000