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小島定吉 研究業績一覧 (77件)
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論文
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Eiko Kin,
Sadayoshi Kojima,
Mitsuhiko Takasawa.
Minimal dilatation of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior,
Algebraic and Geometric Topology,
Vol. 13,
pp. 3537-3602,
2013.
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Sadayoshi Kojima.
Entropy, Weil-Petersson translation distance and Gromov norm for surface automorphisms,
Proceedings of American Mathematical Society,
Vol. 140,
pp. 3993-4002,
2012.
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Kazuo Murota,
Yoshihiro Kanno,
MASAKAZU KOJIMA,
SADAYOSHI KOJIMA.
A numerical algorithm for block-diagonal decomposition of matrix *-algebras, Part I: proposed approach and application to semidefinite programming,
Japan Journal of Industrial and Applied Mathematics,
Vol. 27,
pp. 125-160,
Oct. 2010.
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Kazuo Murota,
Yoshio Kanno,
Masakazu Kojima,
Sadayoshi Kojima.
A numerical algorithm for block-diagonal decomposition of matrix *-algebra,
Japan Journal of Industrial and Applied Mathematics,
2010.
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Eiko Kin,
Sadayoshi Kojima,
Mitsuhiko Takasawa.
Entropy versus volume for pseudo-Anosovs,
Experimental Mathematics,
Vol. 18,
No. 4,
pp. 397-407,
2009.
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Sadayoshi Kojima,
Shigeru Mizushima,
Ser Peow Tan.
Circle packings on surfaces with projective structures and uniformization,
Pacific J. Math.,
Vol. 226,
pp. 287-300,
2006.
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Sadayoshi Kojima,
Shigeru Mizushima,
Ser Peow Tan.
Circle packings on surfaces with projective structures,
J. Differential Geometry,
Vol. 63,
pp. 349-397,
2003.
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Y. Yamashita,
H. Nishi,
S. Kojima.
Configuration spaces of points on the circle and hyperbolic Dehn fillings, II,
Geometriae Dedicata,
Vol. 89,
pp. 143-157,
2002.
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SADAYOSHI KOJIMA.
Complex hyperbolic cone structures on the configuration spaces,
Rend. Istit. Mat.. Univ. Trieste,
Vol. 32,
pp. 149-163,
2001.
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S. Kojima,
H. Nishi,
Y. Yamahsita.
Configuration spaces of points on the circle and hyperbolic Dehn fillings,
Topology,
Vol. 38,
pp. 496-516,
1999.
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SADAYOSHI KOJIMA.
Deformations of hyperbolic 3-cone-manifolds,
Journal of Differential Geometry,
Vol. 49,
pp. 469-516,
1998.
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M. Fujii,
S. Kojima.
Flexible boundaries in deformations of hyperbolic 3-manifolds,
Osaka Journal of Mathematics,
Vol. 34,
pp. 541-551,
1997.
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A. Ishibashi,
T. Koike,
M. Shiino,
S. Kojima.
Compact hyperbolic universe and singularities,
Physical Review D,
Vol. 54,
pp. 7303-7310,
1996.
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SADAYOSHI KOJIMA.
Immersed Geodesic Surfaces in Hyperbolic 3-Manifolds,
Complex Variables,
Vol. 29,
pp. 45-58,
1996.
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S.Kojima,
Y. Yamashita.
Shapes of Stars,
Proceedings of American Mathematical Society,
Vol. 117,
pp. 845-851,
1993.
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SADAYOSHI KOJIMA.
Polyhedral decomposition of hyperbolic 3-manifolds with totally geodesic boundary,
Advanced Study in Pure Math.,
Vol. 20,
pp. 93-112,
1992.
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S. Kojima,
M. Ishida.
Apollonian Packings and hyperbolic geometry,
Geometriae Dedicata,
Vol. 43,
pp. 265-283,
1992.
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M. Ho Kim,
S. Kojima,
F. Raymond.
Homotopy invariants of nonorientable 4-manifolds,
Transactions of American Mathematical Society,
Vol. 333,
pp. 71-81,
1992.
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S. Kojima,
Y. Miyamoto.
The smallest hyperbolic 3-manifolds with totally geodesic boundary,
Journal of Differential Geometry,
Vol. 34,
pp. 175-192,
1991.
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SADAYOSHI KOJIMA.
Polyhedral decomposition of hyperbolic manifolds with boundary,
Proceedings of workshop in Pure Mathematics, Seoul N. Univ.,
Vol. 10,
No. part iii,
pp. 37-57,
1990.
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SADAYOSHI KOJIMA.
Isometry transformations of hyperbolic 3-manifolds,
Topology and its applications,
Vol. 29,
pp. 297-307,
1988.
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D. D. Long,
S. Kojima.
Virtual Betti numbers of some hyperbolic 3-manifolds,
A Fate of Topology, Acadmic Press,
pp. 417-437,
1988.
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SADAYOSHI KOJIMA.
Finite covers of 3-manifolds containing essential surfaces of Euler characteristic = 0,
Proceedings of American Mathematical Society,
Vol. 101,
pp. 743-747,
1987.
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SADAYOSHI KOJIMA.
Bounding finite groups acting on 3-manifolds,
Mathematical Proceedings Cambridge Philosophical Society,
Vol. 96,
pp. 269-281,
1984.
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SADAYOSHI KOJIMA.
A construction of geometric structures on Seifert fibered spaces,
Journal of Mathematical Society of Japan,
Vol. 36,
pp. 483-495,
1984.
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SADAYOSHI KOJIMA.
Milnor'S \mu-invariants, Massey products and Whitney's trick in 4 dimensions,
Topology and its applications,
Vol. 16,
pp. 43-60,
1983.
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SADAYOSHI KOJIMA.
Nilpotent completions and Lie rings associated to link groups,
Commentarii Mathematici Helvetici,
Vol. 58,
pp. 115-134,
1983.
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A. Kawauchi,
S. Kojima.
Algebraic classification of linking pairings on 3-manifolds,
Math. Ann.,
Vol. 253,
pp. 29-42,
1980.
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S. Kojima,
M. Yamasaki.
Some new invariants of links,
Inventiones math.,
Vol. 54,
pp. 213-228,
1979.
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M. Kato,
S. Kojima,
T. Ohkawa,
M. Yamasaki.
The Matsumoto tripling for compact simply connected 4-manifolds,
Tohoku Math. J.,
Vol. 31,
pp. 525-535,
1979.
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SADAYOSHI KOJIMA.
Piecewise linear Dehn's lemma in 4-dimensions,
Proceedings of Japan Academy,
Vol. 55,
pp. 65-67,
1979.
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SADAYOSHI KOJIMA.
Classification of simple knots by Levine pairings,
Comment. Math. Helvetici,
Vol. 54,
pp. 356-367,
1979.
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SADAYOSHI KOJIMA.
A classification of some even dimensional fibered knots,
J. Fac. Sci. Univ. Tokyo,
Vol. 24,
pp. 671-683,
1977.
著書
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小島定吉.
離散構造,
2013.
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Sadayoshi Kojima.
Circle packing and Teichmuller space,
Handbook of Teichmuller theory, Volume II,
European Mathematical Society Publishing House,
Mar. 2009.
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小島定吉.
3次元の幾何学,
朝倉書店,
朝倉書店,
2002.
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小島定吉.
多角形の現代幾何学 増補版,
牧野書店,
牧野書店,
1999.
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小島定吉.
トポロジー入門,
共立出版株式会社,
共立出版株式会社,
1998.
国際会議発表 (査読なし・不明)
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Sadayoshi Kojima.
The moduli space of pentagons,
NII Shonan Meeting, Knot theory: Algorithms, complexity and computation,
Apr. 2014.
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Sadayoshi Kojima.
Normalized entropy versus volume for pseudo-Anosovs,
Analysis and Geometry of Riemann Surfaces and Related Topics,
June 2012.
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SADAYOSHI KOJIMA.
Entropy versus volume for surface automorphisms,
KIAS Workshop on Hyperbolic Geometry,
Sept. 2010.
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SADAYOSHI KOJIMA.
Entropy versus simplicial volume for surface automorphisms,
Geometry, Topology and Dynamics of Character Varieties,
June 2010.
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Sadayoshi Kojima.
Entropy vs volume,
KIAS Workshop on Hyperbolic Geometry and Related Topics,
Dec. 2008.
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Kazuo Murota,
Yoshihiro Kanno,
Masakazu Kojima,
Sadayoshi Kojima.
A numerical algorithm for block-diagonal decomposition of matrix *-algebra,
HPOPT 2008,
June 2008.
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Sadayoshi Kojima.
Comparison of hyperbolic volume with other invariants,
Workshop on hyperbolic structures on 3-manifolds and large scale geometry of Teichmuller space,
July 2007.
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Sadayoshi Kojima.
Packings on projective Riemann surfaces,
Teichmuller spaces (Classical and Quantum),
June 2006.
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Sadayoshi Kojima,
Shigeru Mizushima.
Packings on surfaces I,
ISM Symposium, Packing and Random Packing,
Mar. 2006.
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Sadayoshi Kojima,
Shigeru Mizushima.
The Dehn filling space of a certain hyperbolic 3-orbifold,
Discrete Geometric Analysis,
Contemporary Mathematics,
Vol. 347,
pp. 131-140,
2004.
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Sadayoshi Kojima.
Nonsingular parts of hyperbolic 3-cone-manifolds,
Topology and Teichm\"uller Spaces,
Topology and Teichim\"uller spaces, WSP, Singapore,
pp. 115-122,
1996.
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SADAYOSHI KOJIMA.
Determining knots by branched covers,
Low-dimensional Topology and Kleinian Groups,
LMS Lecture Note Series,
Vol. 112,
pp. 193-207,
1986.
国内会議発表 (査読なし・不明)
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SADAYOSHI KOJIMA.
Normalized entropy versus volume for pseudo-Anosovs,
CREST暗号数理ミニワークショップ,
Sept. 2015.
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SADAYOSHI KOJIMA.
Normalized entropy versus volume for pseudo-Anosovs,
第62回トポロジーシンポジウム,
Aug. 2015.
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SADAYOSHI KOJIMA.
The moduli space of pentagons,
CREST暗号数理キックオフミーティング,
Jan. 2015.
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Sadayoshi Kojima.
Normalized entropy versus volume for pseudo-Anosovs,
幾何学コロキウム,
Dec. 2013.
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小島定吉.
トポロジーと基本群,
玉城嘉十郎教授記念公開学術講演会,
Nov. 2013.
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SADAYOSHI KOJIMA.
Normalized entropy versus volume for pseudo-Anosovs,
低次元多様体の基本群とその表現に関する様々な構造について,
Oct. 2013.
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小島定吉.
ポアンカレ予想の解決,
同友クラブ「師を囲む」,
May 2012.
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小島 定吉.
エントロピー vs 体積 I, II,
仙台シンポジウム W1,
Aug. 2011.
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SADAYOSHI KOJIMA.
Entropy versus Voliume, I, II,
第5回札幌・福岡幾何学セミナー,
Feb. 2011.
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小島定吉.
3次元トポロジーは...,
日本数学会秋期総合分科会,
Sept. 2010.
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SADAYOSHI KOJIMA.
Entropy versus simplicial volume for surface automorphisms,
リーマン面に関する位相幾何学,
Sept. 2010.
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小島定吉.
パリコレでポアンカレ予想を,
理学部特別講演会,
Apr. 2010.
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SADAYOSHI KOJIMA.
Entropy versus Volume,
Branched coverings, degenerations and related topics,
Mar. 2010.
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小島定吉.
円周上の曲面束の幾何とトポロジー,
京都大学数学教室談話会,
Jan. 2010.
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SADAYOSHI KOJIMA.
History of Topology and Computer,
Category theory, computer science and topology,
Oct. 2009.
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Eiko Kin,
Sadayoshi Kojima,
Mitsuhiko Takasawa.
Thurston polytopes and entropy functions of Dehn fillings on the magic 3-manifold,
Simplicial Complexes Arising in Low-Dimensional Topology,
July 2009.
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小島定吉.
ポアンカレ予想と幾何化予想 ートポロジーの100年ー,
奈良女子大学数物情交流シンポジウム,
Dec. 2008.
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小島定吉.
ポアンカレ予想について,
静岡大学理学講演会,
Dec. 2008.
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小島定吉.
ポアンカレ予想と幾何化予想ートポロジーの100年ー,
奈良女子大学数物情交流シンポジウム,
Dec. 2008.
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小島定吉.
ポアンカレ予想と幾何化予想,
数理物理2008「リッチフローの微分幾何と位相幾何」,
Sept. 2008.
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小島定吉.
ポアンカレ予想について,
日本応用数理学会春の研究部会総合発表会,
Mar. 2008.
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Sadayoshi Kojima.
Quasi-isometry of invariants,
研究集会「低次元トポロジーと幾何学」,
Dec. 2006.
その他の論文・著書など
-
Sadayoshi Kojima,
Shigeru Mizushima,
Ser Peow Tan.
Circle packings on surfaces with projective structures : A survey,
Spaces of Kleinian Groups and Hyperbolic 3-Manifolds,
LMS Lecture Notes Series,
Vol. 329,
pp. 337-353,
2006.
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SADAYOSHI KOJIMA.
Hyperbolic 3-manifolds singular along knots,
Chaos, Solitors and Fractals,
Vol. 9,
pp. 765-777,
1998.
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SADAYOSHI KOJIMA.
Geometry of hyperbolic 3-manifolds with boundary,
Kodai Mathematical Journal,
Vol. 17,
No. 3,
pp. 530-537,
1994.
学位論文
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Massey Products, Nilpotent Completions and their Applications to 4-dimensional Topology,
Thesis,
Ph.D,
Columbia University,
1981/05/06,
-
,
Master of Science,
東京大学,
1978/--/--,
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