Updated on 2024/02/02
理学博士 ( 早稲田大学 )
2001.4 -
中央大学理工学部教授
2001.4 -
～ 中央大学理工学部教授
1997.4 - 2001.3
駒澤大学文学部教授 Faculty of Letters
1991.4 - 1997.3
駒澤大学文学部助教授 Faculty of Letters
1989.4 - 1991.3
駒澤大学文学部専任講師 Faculty of Letters
1986.4 - 1989.3
早稲田大学理工学部研究所奨励研究生 School of Science and Engineering
1983.4 - 1986.3
早稲田大学理工学部助手 School of Science and Engineering
日本数学会
American Mathematical Society
American Mathematical Society
Topology
Natural Science / Geometry / 幾何学
Links and submersions to the plane on an open 3-manifold
Shigeaki Miyoshi
JOURNAL OF TOPOLOGY AND ANALYSIS 8 ( 4 ) 677 - 690 2016.12
Reeb components and Thurston's inequality
Shigeaki Miyoshi, Atsuhide Mori
FOLIATIONS, GEOMETRY, AND TOPOLOGY: PAUL SCHWEITZER FESTSCHRIFT 498 195 - + 2009
On Thurston's inequality for spinnable foliations
Hiroki Kodama, Yoshihiko Mitsumatsu, Shigeaki Miyoshi, Atsuhide Mori
FOLIATIONS, GEOMETRY, AND TOPOLOGY: PAUL SCHWEITZER FESTSCHRIFT 498 173 - + 2009
Reeb components and Thurston's inequality
Foliations, Topology and Geometry in Rio, On the occasion of the 70th birthday of Paul Alexander Schweitzer 2007
On representability of the smooth Euler class
S Miyoshi
TOHOKU MATHEMATICAL JOURNAL 56 ( 4 ) 523 - 530 2004.12
On representability of the smooth euler class
Shigeaki Miyoshi
Tohoku Mathematical Journal 56 ( 4 ) 523 - 530 2004
Some remarks on the Euler class of a spinnable foliation
Geometry and Foliations Kyoto 2003, International Conference held at Ryukyu University, September 10-19, 2003 2003
A cyclic cocycle associated with Euler cocycle
Aspect of Foliation Theory in Geometry, Topology and Physics, July 15-November 30, 2002 2002
A remark on torsion Euler classes of circle bundles Reviewed
Shigeaki Miyoshi
Tokyo Journal of Mathematics 24 ( 1 ) 189 - 194 2001.6
A remark on torsion euler classes of circle bundles
Shigeaki Miyoshi
Tokyo Journal of Mathematics 24 ( 1 ) 189 - 194 2001
Euler classes and foliated circle bundles
“Foliations and Geometry 2001”, August 2nd to 11th, 2001 2001
On representability of the smooth Euler class
1998
On foliated circle bundles over closed orientable 3-manifolds
S Miyoshi
COMMENTARII MATHEMATICI HELVETICI 72 ( 3 ) 400 - 410 1997
On foliated circle bundles over closed orientable 3-manifolds
Shigeaki Miyoshi
Commentarii Mathematici Helvetici 72 ( 3 ) 400 - 410 1997
C^{\infty} Reeb links have all Alexander polynomials
Shigeaki Miyoshi
J. of the Faculty of Letters 54 29 - 32 1996.3
C¹ºº Reeb links have all Alexander polynomials
J. of the Faculty of Letters 54 29 - 32 1996
LINKS AND GLOBALLY COMPLETELY INTEGRABLE VECTOR-FIELDS ON AN OPEN 3-MANIFOLD
S MIYOSHI
TOPOLOGY 34 ( 2 ) 383 - 387 1995.4
Links and globally completely integrable vector field on an open 3-manifold Reviewed
Shigeaki Miyoshi
Topology 34 ( 2 ) 383 - 387 1995.4
On foliated circle bundles over 3-manifolds
1995
On concordance between codimension-one foliations
Shigeaki Miyoshi
J. of the Faculty of Letters 48 141 - 157 1990.3
On concordance between codimension-one foliations
Shigeaki Miyoshi
J. of the Faculty of Letters 48 141 - 157 1990.3
On Sullivan's vanishing cycles in codimension-one foliations Reviewed
Shigeaki Miyoshi
Tokyo J. of Mathematics 11 ( 2 ) 387 - 404 1988.12
On Sullivan’s vanishing cycles in codimension-one foliations
Shigeaki Miyoshi
Tokyo Journal of Mathematics 11 ( 2 ) 387 - 404 1988
Existence of Sullivan's vanishing cycles in codimension-one foliations
Shigeaki Miyoshi
Topology and Computer Science 395 - 406 1987.6
Existence of Sullivan's vanishing cycles in codimension-one foliations Reviewed
Shigeaki Miyoshi
Topology and Computer Science 395 - 406 1987.6
On the placement problem of Reeb components
Shigeaki Miyoshi
Commentarii Mathematici Helvetici 57 ( 1 ) 260 - 281 1982.12
Foliated round surgery of codimension-one foliated manifolds
Shigeaki Miyoshi
Topology 21 ( 3 ) 245 - 261 1982
ON THE PLACEMENT PROBLEM OF REEB COMPONENTS
S MIYOSHI
COMMENTARII MATHEMATICI HELVETICI 57 ( 2 ) 260 - 281 1982
Foliated round surgery of codimension-one foliated manifolds
Shigeaki Miyoshi
Topology 21 ( 3 ) 245 - 265 1982
Construction of smooth typical foliations of 3-manifolds
Shigeaki Miyoshi
Foliations and diffeomorphism groups 2018 ( Tambara Institute of Mathematical Sciences, University of Tokyo ) 2018.10 Professor Takashi Tsuboi Graduate School of Mathematical Sciences, University of Tokyo
On a knotted closed orbit of a completely integrable vector field
Contact structures, singularities, differential equations and their related topics 2016.1
Knots and submersions to the plane on an open 3-manifold
Geometry Seminar, Instituto de Ciencias Matematicas 2015.3
On a construction realizing a knot as a fibre of a submersion to the plane
Seminar Tohoku knots 2013, Tohoku University 2013.10
Links and submersions to the plane on an open 3-manifold
59th Topology Symposium, Mathematical Society of Japan, at Saga University 2012.8
Links and submersions on an open 3-manifold
Plane fields on manifolds and diffeomorphism groups 2011, University of Tokyo Tambara International Seminar House 2011.10
A construction of a typical foliation on a 3-manifold
Foliations and groups of diffeomorphisms 2010, University of Tokyo Tambara International Seminar House 2010.10
A construction of a typical foliation on a 3-manifold
Geometry and Topology of foliations, Centre de Recerca Matematica at Barcelona, Spain 2010.7
On Thurston's inequality for foliations 3
joint work with, Hiroki Kodama, Yoshihiko Mitsumatsu, Atsuhide Mori
Foliations theory symposium, University of Tokyo Tambara International Seminar House 2007.10
Reeb components and Thurston's inequality
joint work with, Atsuhide Mori
Foliations, Topology and Geometry in Rio, On the occasion of the 70th birthday of Paul Alexander Schweitzer/Pontificia Universidade Catolica do Rio de Janeiro 2007.8
葉層構造に対する Thurston の不等式
日本数学会 2006 年度年会,日本数学会，於中央大学理工学部 2006.3
Thurston の不等式と回転可能葉層構造について
児玉大樹, 三松佳彦, 森淳秀との共同研究
研究集会「Intelligence of Low Dimensional Topology」（21世紀 COE プログラム「結び目を焦点とする広角度の数学拠点の形成」（拠点リーダー河内明夫）） 2005.11
Reeb components and Thurston's inequality
森淳秀との共同研究
研究集会「葉層構造とその周辺」日本学術振興会科学研究費,基盤研究（Ａ）「多様体の無限変換群の総合的研究」(課題番号 16204004, 代表者 坪井 俊) 2005.10
回転可能葉層構造に対する Thurston の不等式について II
児玉大樹, 三松佳彦, 森淳秀との共同研究
研究集会「葉層構造とその周辺」日本学術振興会科学研究費,基盤研究（Ａ）(代表者 坪井 俊)および基盤研究（Ｃ）(代表者 三松佳彦 2004.10
回転可能葉層と Thurston の不等式について
児玉大樹, 三松佳彦, 森淳秀との共同研究
シンポジウム「接触構造,特異点と周辺分野」科学研究費基盤研究A(1)課題番号15204002「特異点からみた様々な幾何学の研究」（代表 泉屋周一）及び基盤研究A(1)課題番号15204004「3 次元多様体とトポロジーII」（代表 小島定 2004.1
Some remarks on the Euler class of a spinnable foliation
joint work with, Hiroki Kodama, Yoshihiko Mitsumatsu, Atsuhide Mori
Geometry and Foliations Kyoto 2003,International Conference held at Ryukyu University,September 10-19, 2003 2003.9
A cyclic cocycle associated with Euler cocycle
Aspect of Foliation Theory in Geometry, Topology and Physics, July 15-November 30, 2002/Erwin Schrodinger International Institute for Mathematical Physics Vienna, Austria 2002.8
Euler classes and foliated circle bundles
Foliations and Geometry 2001, August 2nd to 11th, 2001/at PUC-Rio, Rio de Janeiro, Brazil 2001.8
滑らかなEuler類の表現可能性について
日本数学科1999年度秋季総合分科会トポロジー分科会アブストラクト,日本数学会 1999.9
On representability of the smooth Euler class
葉層構造の総合的研究,基盤研究 (B)「葉層構造と力学系の総合的研究」（課題番号 80060143 研究代表者 松元重則）による研究集会 1998.11
捩れEuler類と葉層円周束について
日本数学会1997年度秋季総合分科会トポロジー分科会アブストラクト,日本数学会 1997.9
On foliated circle bundles over 3-manifolds
葉層構造の幾何学,研究集会（平成7年度科学研究費総合 A） 1995.11
2,3次元多様体上の葉層S1束について
第42回トポロジーシンポジウム,日本数学会，於弘前大学 1995.7
Links and simple foliations
葉層構造と大域幾何学,研究集会（平成6年度科学研究費総合 A） 1994.10
Links and submersions
日本数学会1994年度秋季総合分科会トポロジー分科会アブストラクト,日本数学会 1994.9
S^{3} の余次元1葉層構造についてのいくつかの注意
日本数学会1981年度秋季総合分科会トポロジー分科会アブストラクト,日本数学会 1981.10
余次元1葉層構造の葉層円形手術
日本数学会1981年度秋季総合分科会トポロジー分科会アブストラクト,日本数学会 1981.10
Organaizer of the international conference Geometry and Foliations 2013
2013.9
Organaizer of the international conference BGamma School
2013.9
国際会議 "BGamma School" 組織委員
2013.9 -
国際会議 "Geometry and Foliations 2013" 組織委員
2013.9 -
３次元開多様体の絡み目と R^2 への沈め込みに関する研究
2012.4 -
葉層構造に対する Thurston の不等式と接触トポロジーに関する研究
2011.4 -
シンプレクティック商の大域的構造と不変量の研究
2009.4 -
葉層構造に対する Thurston の不等式に関する研究
2008.4 -
A reserch on a foliation, a contact structure and Euler class
2006 - 2008
On Thurston's inequality
2006 - 2008
Thurston の不等式に関する研究
2006.4 -
葉層構造と接触構造の微分位相的研究
2006.4 -
葉層構造，接触構造と Euler 類に関する研究
2006.4 -
シンプレクティック空間の幾何と種々の不変量の研究
2005.4 -
３・４次元多様体上の葉層・接触・シンプレクティック構造の研究
2004.4 -
シンプレクティック空間の不変量とその表現論的構造の研究
2003.4 -
情報幾何を利用したアファイン空間内の微分幾何学的アファイン超曲面に関する研究
2003.4 -
絡み目とグラフの不変量の計算アルゴリズムに関する研究
2002.4 -
３・４次元多様体上の接触構造と葉層構造の研究
2001.4 -
力学的微分トポロジーによる葉層・接触・シンプレクティック構造の研究
Grant number：21H00985 2021.4 - 2026.3
日本学術振興会 科学研究費助成事業 基盤研究(B) 中央大学
三松 佳彦, 直江 央寛, 高倉 樹, 太田 啓史, 三好 重明, 粕谷 直彦
Grant amount： \10270000 （ Direct Cost: \7900000 、 Indirect Cost： \2370000 ）
Study on symplectic quotients concerned with branching problems
Grant number：16K05137 2016.4 - 2020.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) Chuo University
Takakura Tatsuru
Grant amount： \2860000 （ Direct Cost: \2200000 、 Indirect Cost： \660000 ）
We studied the multiplicity varieties and multiple weight varieties associated with coadjoint orbits (flag manifolds) of a compact Lie group, and obtained the results as follows.
First, we characterized the special vector volume function of type A, by means of a system of differential equations (arXiv: 1904.05000). Second, we proved that the symplectic volume function of a nondegenerate multiple weight variety of type A determines the cohomology ring over real numbers, and applied it to the study of double weight varieties of type A2. Third, we showed that a nondegenerate special weight variety of type A has the structure of a generalized Bott tower.
We gave presentations about the results as above in some international and domestic conferences.
Study of invariants and various structure of symplectic quotients
Grant number：24540093 2012.4 - 2015.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) Chuo University
TAKAKURA TATSURU, MIYOSHI Shigeaki
Grant amount： \4030000 （ Direct Cost: \3100000 、 Indirect Cost： \930000 ）
First, we obtained an explicit formula for a vector partition function with possibly negative weights. As an example, for the root system of type A, we obtain an alternative proof of certain formulas for the vector partition/volume function over the `nice chamber.' They are also applied to a presentation of solutions of a certain hypergeometric system. Second, we explicitly described the special multiple weight variety of type A as a tower of projective space bundles. Consequently, the cohomology ring of this space is written down in a very simple form. As an application, we obtained a system of differential equations which characterizes the special vector volume function of type A.
A research on links and submersions to R^2 on an open 3-manifold
2012.4 - 2014.3
三好 重明
Grant type：Competitive
Topological study of foliations and contact structures
Grant number：22340015 2010.10 - 2014.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B) Chuo University
MITSUMATSU Yoshihiko, MIYOSHI Shigeaki, TAKAKURA Tatsuru, MATSUMOTO Shigenori, TSUBOI Takashi, KIMURA Yoshifumi, MORIYOSHI Hitoshi, OHTA Hiroshi
Grant amount： \8710000 （ Direct Cost: \6700000 、 Indirect Cost： \2010000 ）
Foliations and contact structures are studied, with a focus on those structures on 3, 4, and 5 dimensional spaces. Especially the construction of important examples and their mutual relationships are investigated. Interactions of many mathematical theories such as Milnor fibrations associated with singularities, fluid mechanics, symplectic geometry which is a refinement of classical mechanics, and several complex variables, re flected on those structures and objects are studied.
This study is also understood as looking at the tightness of those structures which is interpreted as the result of such mathematical theories are reflected on the geodesic flows of surfaces, which gives rise to a special class of flows called `Anosov flows'.
A ressearch on the global structure of a symplectic quotient and its invariant
2009.4 - 2012.3
文部科学省 科学研究費補助金（日本学術振興会・文部科学省）－基盤研究(C)
高倉 樹
Grant type：Competitive
A research on Thurston's inequality for foliations
Grant number：20540091 2008.4 - 2011.3
文部科学省 科学研究費補助金 基盤研究（Ｃ） Grant-in-Aid for Scientific Research (C) Chuo University
三好 重明
Grant type：Competitive
Grant amount： \2860000 （ Direct Cost: \2200000 、 Indirect Cost： \660000 ）
It was only known that Reebless foliations among codimension-one foliations on a 3-manifold satisfy Thurston's inequality. Also, according to the latest research the condition of Reebless is known not to be necessary for Thurston's inequality. Moreover, the example not satisfying Thurston's inequality had not been known. In this research, we studied spinnable foliations in detail and obtained a sufficient condition for spinnable foliations. Thus we constructed a family of spinnable foliations each of which satisfies Thurston's inequality and an example of the foliation not satisfying Thurston's inequality.
A differential topological research on foliations and contact structures
2006.4 - 2009.3
文部科学省 科学研究費補助金（日本学術振興会・文部科学省）－基盤研究(B)
三松 佳彦
Grant type：Competitive
On Thurstons inequality
2006.4 - 2008.3
中央大学 中央大学特定課題研究費
三好 重明
"A reserch on a foliation, a contact structure and Euler class"
Grant number：18540095 2006.4 - 2008.3
文部科学省 科学研究費補助金 基盤研究（Ｃ） Grant-in-Aid for Scientific Research (C) Chuo University
三好 重明
Grant type：Competitive
Grant amount： \2100000 （ Direct Cost: \2100000 、 Indirect Cost： \240000 ）
W. Thurston showed that a foliation on a 3-manifold which has no Reeb component enjoys the property that the Euler class of the tangent bundle satisfies an inequality, Thurston's inequality. On the other hand, the Reeb foliation on the three sphere satisfies Thurston's inequality and a previous research followed by this research showed that there is a class of foliations each of which has Reeb components and satisfi es Thurston's inequality.
In the research in 2006, for a class of foliations which are called spinnable foliations, we obtained a sufficient condition for the foliation satisfying Thurston's inequality. Moreover, we revealed an aspect where Thurston's inequality does not hold. They are described by properties of the monodromy diffeomorphisms which determine the spinnable foliations
In view of the research with respect to the convergence of contact structures to foliations, we studied a finer inequality, the relative version of Thurston's inequality, which deepens the research until 2006. In fact, for spinnable foliations we showed that the relative version implies the absolute version. The same statement for contact structures was known however, it does not hold in general for foliations. Also in 2007, we found the method to construct a foliation which satisfies Thurston's inequality with Euler class of infinite order. Until then, all foliations which satisfies Thurston's inequality have trivial Euler class. Indeed, we can find'a spinnable foliation whose Euler class is of infinite order by the research in 2006. Then we can perform Dehn surgery along the Reeb component and with certain condition on the original spinnable foliation we can conclude that with finitely many exceptions the resultant satisfies Thurston's inequality with Euler class of infinite order by virtue of D. Gabai's sutured manifold theory.
葉層構造の位相幾何学についての研究
2008 -
Grant type：Competitive
A research on the geometry of symplectic spaces and various invariants
2005.4 - 2007.3
文部科学省 科学研究費補助金（日本学術振興会・文部科学省）－基盤研究(C)
高倉 樹
Grant type：Competitive
"A research on foliations, contact structures and symplectic structures on 3 and 4 dimensional manifolds"
2004.4 - 2006.3
文部科学省 科学研究費補助金（日本学術振興会・文部科学省）－基盤研究(C)
三松 佳彦
Grant type：Competitive
A research on differential geometric affine hypersurfaces in an affine spaces using information geometry
2003.4 - 2006.3
文部科学省 科学研究費補助金（日本学術振興会・文部科学省）－基盤研究(C)
松山 善男
Grant type：Competitive
A research on the invariants of symplectic spaces and their structures in the representation theory
2003.4 - 2005.3
文部科学省 科学研究費補助金（日本学術振興会・文部科学省）－基盤研究(C)
高倉 樹
Grant type：Competitive
A research on the algorithms of the invariants of links and graphs
2002.4 - 2005.3
文部科学省 科学研究費補助金（日本学術振興会・文部科学省）－基盤研究(C)
山本 慎
Grant type：Competitive
A research on contact structures and foliations on 3 and 4 dimensional manifolds
2001.4 - 2004.3
文部科学省 科学研究費補助金（日本学術振興会・文部科学省）－基盤研究(B)
三松 佳彦
Grant type：Competitive
