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Research Interest

低次元多様体論,特に3次 元多様体論,結び目理論,デーン手術,不変順序

Published Papers and Preprints 

No.

Title

Co-author

Journal





1.

Fibered 2-knots and lens spaces


Osaka J. Math. 26 (1989) 57-63

2.

Twisting symmetry-spins of 2-bridge knots


Kobe J. Math. 6 (1989) 117-125.

3.

Twisting symmetry-spins of pretzel knots


Proc. Japan Acad. A66 (1990) 179-183.

4.

2-Knots from view of moving picture

with Yasutaka Nakanishi

Kobe J. Math. 8 (1991) 161-172.

5.

Symmetry-spun tori in the four-sphere


in Knots 90, Walter de Gruyter 1992

6.

A note on untwisted deform-spun 2-knots


Proc. Japan Acad. A68 (1992) 75-78.

7.

Composite knots trivialized by twisting


J. Knot Theory Ramifications 1 (1992) 467-470.

8.

Roll-spun knots


Math. Proc. Cambridge Philos. Soc. 113 (1993) 91-96.

9.

Twist-roll spun knots


Proc. Amer. Math. Soc. 122 (1994) 597-599.

10.

Homology handles with multiple knot-surgery descriptions


Topology Appl. 56 (1994) 249-257.

11.

Twisting operations and composite knots - In search of Scharlemann cycles 


Proc. Apllied Math. Workshop 4, KAIST, 1994

12.

Twisting operations and composite knots


Proc. Amer. Math. Soc. 123 (1995) 1623-1629.

13.

Dehn surgery and projective planes


Kobe J. Math. 13 (1996) 203-207.

14.

Cyclic surgery on genus one knots


Osaka J. Math. 34 (1997) 145-150.

15.

Dehn surgery on genus one knots and Seifert fibered manifolds


Proc. of The 5th Korea-Japan School of Knots and Links (1998) 315-325, KAIST

16.

Tunnel number one genus one non-simple knots

with Hiroshi Goda

Tokyo J. Math. 22 (1999) 99-103.

17.

Dehn surgeries on composite knots creating Klein bottles


J. Knot Theory Ramifications 8 (1999) 391-395.

18.

On tangle decompositions of tunnel number one links

with Hiroshi Goda and Makoto Ozawa

J. Knot Theory Ramifications 8 (1999) 299-320.

19.

Genus one, three-bridge knots are pretzel

with Satoshi Fukuhama and Makoto Ozawa

J. Knot Theory Ramifications 8(1999) 879-885.

20.

Gluck surgery along a 2-knot in a 4-manifold is realized by surgery along

a projective plane

with Atsuko Katanaga, Osamu Saeki and Yuichi Yamada

Michigan Math. J. 46 (1999), 555-571.

21.

Dehn surgeries on knots which yield lens spaces and genera of knots

with Hiroshi Goda

Math. Proc. Cambridge Philos. Soc. 129 (2000), 501-515.

22.

Creating Klein bottles by surgery on knots


J. Knot Theory Ramifications 10 (2001), 781-794.

23.

Links with surgery yielding the 3-sphere


J. Knot Theory Ramifications 11 (2002), 105-108.

24.

Toroidal surgeries on hyperbolic knots


Proc. Amer. Math. Soc. 130 (2002), 2803-2808.

25.

Boundary slopes of non-orientable Seifert surfaces for knots

with Kazuhiro Ichihara and Masahiro Ohtouge

Topology Appl. 122 (2002), 467-478.

26.

Dehn surgery on crosscap number two knots and projective planes


J. Knot Theory Ramificaions 11 (2002), 869-886.

27.

Dehn fillings creating essential spheres and tori

with Sangyop Lee and Seungsang Oh

J. Knot Theory Ramificaions 11 (2002), 887-890.

28.

P2-reducing and toroidal Dehn fillings

with Gyotaek Jin, Sangyop Lee and Seungsang Oh

Math. Proc. Cambridge Philos. Soc. 134 (2003), 271-288.

29.

Klein bottle surgery and genera of knots

with Kazuhiro Ichihara

Pacific J. Math. 120 (2003), 317-333.

30.

Toroidal surgeries on hyperbolic knots, II


Asian J. Math. 7 (2003), 139-146.

31.

The simplest hyperbolic knots with non-integral toroidal surgery

with Haruko Ishigami

J. Knot Theory Ramifications 12 (2003), 1023-1039.

32.

Crosscap numbers of torus knots


Topology Appl. 138 (2004), 219-238.

33.

Klein bottle surgery and genera of knots, II

with Kazuhiro Ichihara 

Topology Appl. 146-147 (2005), 195-199.

34.

On hyperbolic 3-manifolds realizing the maximal distance between toroidal Dehn fillings

with Hiroshi Goda

Algebr. Geom. Topol. 5 (2005), 463-507. (available from Math ArXiv)

35.

Distance between toroidal surgeries on hyperbolic knots in the 3-sphere


Trans. Amer. Math. Soc. 358 (2006), 1051-1075. (available from Math ArXiv)

36.

Reducing Dehn fillings and small surfaces

with Sangyop Lee and Seungsang Oh

Proc. London Math. Soc. 92 (2006), 203--223.(available from Math ArXiv)

37.

On hyperbolic knots realizing the maximal distance between toroidal surgeries


J. Knot Theory Ramifications 15 (2006), 101-119. (available from Math ArXiv)

38.

On non-integral Dehn surgeries creating non-orientable surfaces


Canad. Math. Bull. 49, no.4 (2006), 624-627.

39.

Crosscap numbers of 2-bridge knots

with Mikami Hirasawa

Topology 45, no. 3 (2006), 513-530. (available from Math ArXiv)

40.

Toroidal Dehn fillings on large hyperbolic 3-manifolds


Comm. Anal. Geom. 14 (2006) 565-601. (available from Math ArXiv)

41.

A Seifert fibered manifold with infinitely many knot-surgery descriptions


International Mathematics Research Notices 2007, Article ID rnm028, 16 pages.

42.

Alexander polynomials of doubly primitive knots

with Kazuhiro Ichihara and Toshio Saito

Proc. Amer. Math. Soc. 135 (2007), 605-615. (available from Math ArXiv)

43.

Boundary structure of hyperbolic 3-manifolds admitting annuluar and toroidal fillings at large distance

with Sangyop Lee

Canadian J. Math. 60 (2008) 164-188. (available from Math ArXiv)

44.

Hyperbolic knots with three toroidal Dehn surgeries


J. Knot Theory Ramifications 17 (2008) 1051-1061. (available from Math ArXiv)

45.

Non-invertible knots having toroidal Dehn surgery of hitting number four


Hiroshima Mathematical Journal 38 (2008), 447-454.

46.

Isolated exceptional Dehn surgeries on hyperbolic knots


Topology Appl. 156 (2009), 1148-1152. 

47.

Boundary structure of hyperbolic 3-manifolds admitting toroidal fillings at large distance

with Sangyop Lee

Math. Ann. 344 (2009), 119-159.

48.

Toroidal Dehn surgery on hyperbolic knots and hitting number


Topology Appl. 157 (2010), 269-273.

49.

Knots yielding homeomorphic lens spaces by Dehn surgery

with Toshio Saito

Pacific J. Math. 244, no.1 (2010), 169-192. (available from Math ArXiv)

50.

Cyclic surgery between toroidal surgeries


Canad. Math. Bull. 54 (2011), no. 3, 556-560.

51.

Left-orderability and exceptiona Dehn surgery on twist knots


Canad. Math. Bull. 56 (2013), no. 4, 850-859. (available from Math ArXiv)

52.

Left-orderability and exceptiona Dehn surgery on two-bridge knots

with Adam Clay

Contemp. Math. 597 (2013), 225-233. (available from Math ArXiv)

53.

Left-orderable fundamental group and Dehn surgery on the knot 5_2

with Ryoto Hakamata

Canad. Math. Bull. 57 (2014), no.2, 310-317. (available from Math ArXiv)

54.

Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots

with Ryoto Hakamata

Algebraic and Geometric Topology 14 (2014), issue 4, 2125-2148. (available from Math ArXiv)

55.

Left-orderable, non-L-space surgeries on knots

with Kimihiko Motegi

Comm. Anal. Geom. 22 (2014), no. 3, 421-449. (available from Math ArXiv)

56.

Four-fold cyclic branched covers of genus one two-bridge knots are L-spaces


Bol. Soc. Mat. Mexicana 20 (2014), issue 2, 391-403.

57.

Quasi-alternating links and Q-polynomials


J. Knot Theory Ramifications 23 (2014), no.12, 1450068 (6 pages). (available from Math ArXiv)

58.

An alternative proof of a theorem of Morimoto on composite tunnel number one links


preprint

59.

Cyclic branched covers of alternating knot and L-spaces


Bull. Korean Math. Soc. 52 (2015), no.4, 1139--1148. (available from Math ArXiv)

60.

Quasi-alternating links and Kauffman polynomials


J. Knot Theory Ramifications 24 (2015), no.7, 1550038(17 pages)

61.

Triple crossing numbers of graphs

with Hiroyuki Tanaka

Communications in Mathematical Research 32 (2016), no.1, 1-38.(pdf file)

62.

Generalized torsion elements in the knot groups of twist knots


Proc. Amer. Math. Soc. 144 (2016), no.6, 2677-2682. (available from Math ArXiv)

63.

Generalized torsion elements and bi-orderability of 3-manifold groups

with Kimihiko Motegi

Canad. Math. Bull. 60 (2017), no.4, 830-844. (available from Math ArXiv)

64.

Normal closures of slope elements in knot groups and the peripheral Magnus property

with Tetsuya Ito, Kimihiko Motegi

preprint (available from Math ArXiv)


Other drafts

1.

Toroidal surgery on hyperbolic knots


in the Proceedings of the 1st East Asian School of Knots, Links and Related Topics

2.

負 の余りを利用した倍数の見分け方


広島大学附属東雲中学校数学科・広島大学共同研究プロジェクト

3.

結 び目のレンズ空間手術,ザイフェルト手術及びトロイダル手術


2006年 度日本数学会秋 季総合分科会特別講演アブストラクト(加筆修正版)

4.

多 角数に関する3つの定理


広島大学大学院教育学研究科リサーチオフィス経費プロジェクト

5.

ポ リオミノの数学


広島大学大学院教育学研究科リサーチオフィス経費プロジェクト

6.

Triple crossing numbers of graphs


東京女子大学での講演スライド(2010320日)

7.

ラ ムゼー理論の話題から


広島大学学術情報リポジトリ

8.

幾 何内容の基礎-公理的アプローチ


2014年度教員免許状更 新講習テキスト(2014812日)


Books

1.

これだけは知っておきたい教員 のための数学I, 代数・幾何


今岡光範,坂本隆則,寺垣内政一,丸尾修共著,培風館,2007


Recent Talks

Date

Title

Place




1997.2

Dehn surgery on genus one knots and Seifert fibered manifolds

The 5th Korea-Japan School of Knots and LinksKAIST Korea

1997.10

種数1の結び目のデーン手術によるクライン・ボトルの生成

日本数学会秋季総合分科会

1997.10

Creating Klein bottles by surgery on genus one knots

研究集会「結び目と低次元多様体」, 大阪商工会議所賢島研修センター

1998.1

結び目のデーン手術による曲面 の構成

日本数学会中国・四国支部例会, 山口市共済苑

1998.2

On tangle decompositions of tunnel number one links

The 6th Japan-Korea School of Knots and Links 東 京大学

1998.8

Creating Klein bottles by surgery on genus one knots

Knots in Hellas '98ECCDDelphiGreece

1998.10

トンネル数1の絡み目のタングル分解について

日本数学会秋季総合分科会,大阪大学

1998.10

Crosscap number two knotDehn surgeryによる射影平面の生成

研究集会「結び目の数理」, 関西セミナーハウス

1999.2

Dehn surgery on knots yielding lens spaces

The 7th Japan-Korea School of Knots and Links オ クスフォード大学セント・キャサリンズカレッジ神戸インスティチュート

1999.3

Genus one, three-bridge knots are pretzel

日本数学会年会,学習院大学

1999.9

Dehn surgeries on knots which yield lens spaces and genera of knots

The University of Texas at AustinTexasU.S.A.

2000.2

Toroidal Dehn fillings and lens spaces

University of South AlabamaAlabamaU.S.A.

2000.2

Toroidal Dehn fillings and lens spaces

The University of Texas at AustinTexasU.S.A.

2000.5

Toroidal Dehn fillings and lens spaces

研究集会「Dehn surgery による3次 元多様体の研究」, 数理解析研 究所

2000.5

Osoinach の論文 の紹介

研究集会「Dehn surgery による3次 元多様体の研究」, 数理解析研 究所

2000.8

Dehn surgery on crosscap number two knots and projective planes

Knots 2000Yongpyong ResortKorea

2000.9

Toroidal Dehn fillings and lens spaces

日本数学会秋季総合分科会,京都大学

2000.10

Toroidal Dehn fillings and lens spaces

研究集会「結び目の不変量と幾何構造」, 大阪市立大学文化交流センター

2000.12

Toroidal surgery on hyperbolic knots

東京女子大学トポロジーセミナー,東京女子大学

2001.5

Links with surgery yielding the 3-sphere

広島大学トポロジーセミナー,広島大学

2001.10

Toroidal Dehn surgeries on hyperbolic knots

日本数学会秋季総合分科会,九州大学

2001.12

Klein bottlal surgery and genera of knots

研究集会「結び目のトポロジーIV」, 大阪市立大学

2002.6

Crosscap numbers of torus knots

広島大学トポロジーセミナー,広島大学

2002.6

Crosscap numbers of torus knots

松江位相数学国際会議,島根大学

2002.8

Dehn surgeries creating Klein bottles and genera of knots

Conference in Geometric TopologyShaanxi Normal UniversityChina

2002.9

Non-orientable genera of torus knots

日本数学会秋季総合分科会,島根大学

2002.10

Non-orientable genera of torus knots

研究集会「結び目と多様体の幾何と代数」,大阪市立大学文化交流センター

2002.11

Toroidal surgeries on hyperbolic knots

Korea University

2002.11

Toroidal surgeries on hyperbolic knots

研究集会「Japan-Korea School of 3-manifolds」,奈良女子大学

2003.6

Crosscap numbers of 2-bridge knots

広島大学トポロジーセミナー,広島大学

2003.9

Integral toroidal surgeries on hyperbolic knots

研究集会「結び目と多様体の幾何と代数II」, 甲南大学

2003.9

Crosscap numbers of 2-bridge knots

日本数学会秋季総合分科会,千葉大学

2004.2

Toroidal surgery on hyperbolic knots

The First East Asian School of KnotsLinks and Related TopicsSeoulKorea

2004.5

Distance between toroidal surgeries on hyperbolic knots in the 3-sphere

広島大学トポロジーセミナー,広島大学

2004.7

Distance between toroidal surgeries on hyperbolic knots in the 3-sphere

First KOOK Seminar International Conference for Knot Theory and Related Topics, 淡路夢舞台国際会議場

2004.12

On hyperbolic knots realizing the maximal distance between toroidal surgeries

3rd Japan-Mexico Joint Meeting on Topology and Its ApplicationsOaxacaMexico

2004.12

On hyperbolic knots realizing the maximal distance between toroidal surgeries

研究集会「結び目のトポロジー」, 東京女子大学

2005.2

On hyperbolic 3-manifolds realizing the maximal distance between toroidal fillings

研究集会「東北結び目セミナー in 秋田」,秋田市民交流プラザ

2005.3

On hyperbolic knots realizing the maximal distance between toroidal surgeries

Korea University

2005.5

Lens space surgeries on doubly primitive knots

広島大学トポロジーセミナー,広島大学

2005.8

Alexander polynomials of doubly primitive knots

研究集会「結び目と多様体の幾何と代数」, 甲南大学

2005.12

Exceptional Dehn fillings at large distance

研究集会「結び目のトポロジー」, 早稲田大学

2006.5

Hyperbolic knots with multiple exceptional Dehn surgeries

国際研究集会「Knots, Groups and 3-Manifolds in Marseille 2006」,Universite de Provence, Marseille, France

2006.6

Hyperbolic knots with multiple exceptional Dehn surgeries

広島大学トポロジーセミナー,広島大学

2006.8

Crosscap numbers of torus knots

Workshop on Crosscap Number, 支笏湖休暇村

2006.9

結び目のレンズ空間手術,ザイフェルト手術及びトロイダル手術

日本数学会秋季総合分科会,大阪市立大学

2006.12

A Seifert fibered manifold with infinitely many knot-surgery descriptions

研究集会「結び目のトポロジーIX」, 日本大学

2006.12

On fiberedness of knots with lens space surgeries

上智トポロジー研究集会2006, 上智大学

2007.2

A Seifert fibered manifold with infinitely many knot-surgery descriptions

国際研究集会「結び目・絡み目に関する第3回 東アジアスクール」,大阪市立大学

2007.7

Hyperbolic knots with three toroidal Dehn surgeries

広島大学トポロジーセミナー,広島大学

2007.12

Hyperbolic knots with three toroidal Dehn surgeries

International Conference on Topology and its Applications 2007,京都大学

2008.9

Knots yielding homeomorphic lens spaces by Dehn surgery

Topology seminarUNAM(メ キシコ国立自治大学),Mexico

2008.9

Arrangement of exceptional Dehn surgery

Topology seminarUNAM(メ キシコ国立自治大学),Mexico

2008.10

Knots yielding homeomorphic lens spaces by Dehn surgery

研究集会「Intelligence of Low Dimensional Topology」,大阪市立大学

2009.1

Knots yielding homeomorphic lens spaces by Dehn surgery

国際研究集会「Knots in Washington XXVII」,George Washington University, Washington D.C., USA

2009.7

Knots obtained from the minimally twisted five chain link and lens space surgery

WorkshopSimplicial Complexes Arising in Low-Dimensional Topology」, 東京工業大学

2010.2

Triple crossing numbers of graphs

結び目の数理セミナー「Knotting Nagoya」,名古屋工業大学

2010.3

Triple crossing numbers of graphs

研究集会「結び目理論」,東京女子大学

2011.1

Boundary reducing knots in handlebodies

国際研究集会「第7回結び目理論に関する東アジアスクール」,広島大学

2012.3

2橋結び目の例外的デーン手術と左不変順序

日本数学会年会,東京理科大学

2012.6

ツイスト結び目の例外的デーン手術と左不変順序

広島大学トポロジーセミナー,広島大学

2013.1

Left-orderable fundamental group and Dehn surgery on twist knots

The 9th East Asian School of Knots and Related Topics, 東京大学

2013.3

ツイスト結び目の例外的デーン手術と左不変順序

日本数学会年会,京都大学

2013.5

Left-orderable fundamental groups and Dehn surgery on two-bridge knots

Intelligence of Low Dimensional Topology, 京都大学

2013.9

Cyclic branched covers of genus one two-bridge knots and L-spaces

International Conference on Topology and Geometry 2013, 島根大学

2013.9

2橋結び目の巡回分岐被覆空間とL空 間

日本数学会秋季総合分科会,愛媛大学

2014.6

Quasi-alternating links and Q-polynomials

東京女子大学トポロジーセミナー,東京女子大学

2015.2

Cyclic branched covers of knots and L-spaces

Branched Coverngs, Degenarations, and Related Topics 2015,東北学院大学

2015.3

擬交代絡み目とQ多 項式

日本数学会年会,明治大学

2015.6

Generalized torsion elements in the knot groups of twist knots

広島大学トポロジー幾何セミナー,広島大学

2015.8

Quasi-alternating links and Kauffman polynomials

拡大KOOKセ ミナー,神戸大学

2015.9

擬交代絡み目とKauffman多 項式

日本数学会秋季総合分科会,京都産業大学

2015.10

Generalized torsion elements in the knot groups of twist knots

Geometry and Topology of Low-dimensional Manifolds,奈良女子大学

2015.11

Generalized torsion elements in the knot groups of twist knots

The 1st Pan Pacific International Conference on Topology and ApplicationsMin Nan Normal University, China

2016.3

ツイスト結び目の結び目群に含まれる共役ねじれ元

日本数学会年会,筑波大学

2016.6

Quasi-alternating links and polynomial invariants

離散群と双曲空間のトポロジーと解析,京都大学数理解析研究所

2017.1

Generalized torsion elements and bi-orderability of 3-manifold groups

3-manifold workshop, Isaac Newton Institute for Mathematical Sciences, United Kingdom

2017.3

3次元多様体の基本群に含まれる共役ねじれ元と両側不変順序

日本数学会年会,首都大学東京

2017.6

Normal closures of slope elements in knot groups and the peripheral Magnus property

広島大学トポロジー幾何セミナー,広島大学

2017.8

3次元多様体の基本群に含まれる共役ねじれ元と両側不変順序

拡大KOOKセミナー2017,大阪工業大学

2017.11

Generalized torsion elements and bi-orderability of 3-manifold groups

The 2nd Pan Pacific International Conference on Topology and Applications, Novotel, Busan, Korea