ONO Kaoru

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Name
ONO Kaoru
Affiliation
Kyoto University
Degree
Dr. Sci.(The University of Tokyo)

Research Interests

 
 

Research Areas

 
 

Academic & Professional Experience

 
 
   
 
Hokkaido University Faculty of Science, Department of Mathematics
 

Education

 
 
 - 
1984
Faculty of Science, The University of Tokyo
 

Published Papers

 
Note on (super) heavy subsets in symplectic manifolds
ONO, Kaoru and Sugimoto, Yoshihiro
Proceedings of the Centre for Mathematics and its Applications, Australian National University   48 174-192   Apr 2019   [Refereed][Invited]
Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory
FUKAYA, Kenji, OH, Yong-Geun, OHTA, HIroshi, ONO, Kaoru
Memoirs of the American Mathematical Society   260(1254) 1-266   2019   [Refereed]
Construction of Kuranishi structures on the moduli space of pseudo holomorphic disks, I
FUKAYA, Kenji, OH, Yong-Geun, OHTA, Hiroshi, ONO, Kaoru
Surveys in Differential Geometry   22 133-190   2018   [Invited]
Symplectic fillings of links of quotient surface singularities - corrigendum
BHUPAL, Mohan, ONO Kaoru
Nagoya Mathematical Journal   225 207-212   2017   [Refereed]
Anti-symplectic involution and Floer cohomology
ONO Kaoru, FUKAYA Kenji, OH Yong-Geun, OHTA Hiroshi
Geometry and Topology   21 1-106   2017   [Refereed]
Shrinking good coordinate systems associated to Kuranishi structures
ONO Kaoru, FUKAYA Kenji, OH Yong-Geun, OHTA Hiroshi
Journal of symplectic geometry   14 1295-1310   2016   [Refereed]
On fixed points of a Hamiltonian diffeomorphism in presence of fundamental group
Kaoru Ono and Andrei Pajitnov
Essays in Mathematics and its Applications in honor of Professor Vladimir Arnold   199-228   2016   [Refereed][Invited]
K. Ono, K. Fukaya, Y.-G. Oh, H. Ohta
Pure and Applied Mathematics Quarterly (Special Issue dedicated to Professor Dennis Sullivan)   9(2) 189-289   2013   [Refereed]
Displacement of polydisks and Lagrangian Floer thoery
K. Ono, K. Fukaya, Y.-G. Oh, H. Ohta
Journal of Symplectic Geometry   11 231-268   2013   [Refereed]
K. Ono, M. Bhupal
Nagoya Math. Journal   207 1-45   2012   [Refereed]
Lagrangian Floer theory on compact toric manifolds: survey
K. Ono, K. Fukaya, Y.-G. Oh, H. Ohta
In Surveys in Differential Geometry   XVII 229-298   2012
K. Ono, K. Fukaya, Y.-G. Oh, H. Ohta
International Mathematical Research Notices   2942-2993   2012   [Refereed]
K. Ono, K. Fukaya, Y.-G. Oh, H. Ohta
Selecta Mathematica New Series   17 609-711   2011   [Refereed]
Anchored Lagrangian submanifolds and their Floer theory
K. Ono, Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta
In: Mirror Symmetry and Tropical Geometry, Contemporary Mathematics   527 15-54   2010   [Refereed]
Canonical models of filtered Tex-algebras and Morse complexes
K. Ono, Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta
New Perspectives and Challenges in Symplectic Field Theory, CRM Proceedings and Lecture Notes   527 15-54   2010   [Refereed]
K. Ono, Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta
Duke Math. J.   151 23-174   2009   [Refereed]
An inequality for symplectic fillings of the link of a hypersurface Tex singularities, Algebraic topology--old and new
K. Ono, Hiroshi Ohta
Banach Center Publ.   85 93-100   2009   [Refereed]
K. Ono, Hiroshi Ohta
Journal of Fixed Point Theory and Applications   3 51-56   2008   [Refereed]
Parametrized Gromov-Witten invariants and topology of symplectomorphism groups
K. Ono, Hong Van Le
Math. Soc. Japan, Advanced Studies in Pure Mathematics, Groups of Diffeomorphisms in honor of Shigeyuki Morita on the occasion of his 60th birthday   52 51-75   2008   [Refereed]
A question analogous to the flux conjecture concerning Lagrangian submanifolds
K. Ono
Proceeding of the Gokova Geometry/Topology Conference, Internationl Press   2008 1-14   2007   [Refereed]
Floer theory in symplectic geometry (In Japanese)
K. Ono
SUGAKU   58    2006   [Refereed]
Development in symplectic Floer thoery
K. Ono
Proceedings of International Congress of Mathematicians, Madrid, Eur. Math. Soc.   II 1061-1082   2006   [Refereed]
K. Ono
Geometric and Functional Analysis   16 981-1020   2006   [Refereed]
A short note on symplectic Floer thoery
K. Ono
World Scientific, In: Noncommutative geometry and physics   301-319   2005   [Refereed]
Floer-Novikov cohomology and symplectic fixed points
K. Ono
J. Symplectic Geom. , issue 4 (Special Issue, Conference on Symplectic Topology, July 3-10, 2004, Stare Jablonki, Poland)   3 545-563   2005   [Refereed]
Simple singularities and symplectic fillings
K. Ono, Hiroshi Ohta
J. Differential Geom.   69 1-42   2005   [Refereed]
Symplectic 4-manifolds containing rational curves with Tex-cusp
K. Ono, Hiroshi Ohta
Congres et Seminaire, SMF   10 233-241   2005   [Refereed]
Tex-holomorphic curves and symplectic topology
K. Ono
Sugaku Expositions, (Originally writtein in Japanese ``SUGAKU'' {?bf 51}(1999), 357-376. )   18 143-164   2005   [Refereed]
Symplectic fillings of links of simple elliptic singularities
K. Ono, Hiroshi Ohta
J. Reine und Angewandte Mathematik (Crelle's Journal)   565 183-205   2003   [Refereed]
Simple singularities and symplectic fillings
K. Ono
Contemporary Mathematics   309 195-197   2002   [Refereed]
Space of geodesics on Zoll 3-spheres
K. Ono
Advanced Studies in Pure Mathematics, Minimal Surfaces, Geometric Analysis and Symplectic Geometry, Edited by K. Fukaya, S. Nishikawa and J. Spruck   34 237-243   2002   [Refereed]
Floer homology over integer of general symplectic manifolds -summary-
K. Ono, Kenji Fukaya
Advanced Studies in Pure Mathematics, Taniguchi Conference on Mathematics Nara '98, Edited by M. Maruyama and T. Sunada, pp. 75-91.   31 75-91   2001   [Refereed]
Simple singularities and topology of symplectically filling symplectic 4-manifolds
K. Ono, Hiroshi Ohta
Commentarii Mathematici Helvetici   74 575-590   1999   [Refereed]
Arnold conjecture and Gromov-Witten invariants
K. Ono, Kenji Fukaya
Topology   38 933-1048   1999   [Refereed]
Arnold conjecture and Gromov-Witten invariants for general symplectic manifolds
K. Ono, Kenji Fukaya
In: Arnoldfest, Fields Institute Communications, Fields Institute and Amer. Math. Soc.   24 173-190   1999   [Refereed]
On Arnold's conjecture for symplectic fixed points
K. Ono
In: Banach Center Publications, Homotopy and Geometry, Edited by J. Oprea and A. Tralle   45 13-24   1998   [Refereed]
Almost complex structures which are compatible with K?"ahler structure or symplectic structure
K. Ono, Frank Connolly and L?^e H?^ong V?^an
Ann. Global Anal. and Geometry   15 325-334   1997   [Refereed]
K. Ono, Hiroshi Ohta
Intern. Journal of Math., with adddum by H.-V. L?^e and K. Ono, Perturbation of pseudoholomorphic curves. ibid., 771-774.   7 755-770   1996   [Refereed]
Cup-length estimate for symplectic fixed points
K. Ono, L?^e H?^ong V?^an
In: ``Contact and Symplectic Geometry'', Edited by C. B. Thomas, Cambridge University Press   268-295   1996   [Refereed]
Symplectic 4-manifolds with Tex
K. Ono, Hiroshi Ohta
In: ``Geometry and Physics'', Edited by J. E. Andersen, J. Dupont, H.   184 234-244   1996   [Refereed]
Notes on symplectic 4-manifolds with Tex
K. Ono, Hiroshi Ohta
In: ``Moduli of vector bundles'', Edited by M. Maruyama ,   179 209-212   1996   [Refereed]
Symplectic fixed points, Calabi invariant and Novikov homology
K. Ono, L?^e H?^ong V?^an
Topology   34 155-176   1995   [Refereed]
On the Arnold conjecture for weakly monotone symplectic manifolds
K. Ono
Invent. math.   119 519-537   1995   [Refereed]
An analogue of Edmonds' theorem for loop spaces
K. Ono, Stephan Stolz
Amer. Math. Soc., In: ``Symplectic Geometry and Quantization'', Edited by Y. Maeda, H. Omori and A. Weinstein, Contemporary Mathematics   179 241-260   1994   [Refereed]
On a theorem of Edmonds
K. Ono
Adv. Studies in Pure Math.   22 243-245   1993   [Refereed]
Vafa's formula and equivariant Tex-theory
K. Ono, Shi Shyr Roan
J. Geom. and Phys.   10 287-294   1993   [Refereed]
Obstruction to circle group actions preserving symplectic structure
K. Ono
Hokkaido Math. J.   21 99-102   1992   [Refereed]
Tex-invariant and Tex actions
K. Ono
Proc.AMS   112 597-600   1991   [Refereed]
Note on Hirzebruch's proportionality principle
K. Ono, T. Kobayashi
J.Fac.Sci.Univ.Tokyo   IA 71-87   1990   [Refereed]
Periodic Schr?"odinger operators on a manifold
K. Ono, T. Kobayashi and T. Sunada
Forum Math.   1 69-79   1989   [Refereed]
Some remarks on group actions in symplectic geometry
K. Ono
J. Fac. Sci. Univ. Tokyo   IA 431-437   1988   [Refereed]
Equivariant projective imbedding theorem for symplectic manifolds
K. Ono
J. Fac. Sci. Univ. Tokyo   IA 381-392   1988   [Refereed]
On the holomorphicity of harmonic maps from compact K?"ahler manifolds to hyperbolic Riemann surfaces
K. Ono
Proc.AMS   102 1071-1076   1988   [Refereed]
The scalar curvature and the spectrum of the Laplacian of spin manifolds
K. Ono
Math.Ann.   281 163-168   1988   [Refereed]
K. Ono
Journal of Fixed Point Theory and Applications (issue dedicated to Andzrej Granas)   17 221-237   2015   [Refereed][Invited]

Books etc

 
Lagrangian Floer theory and mirror symmetry of compact toric manifolds
K. Fukaya, Y.-G. Oh, H. Ohta and K. ONO (Part:Joint Work, whole book Asterisque vol. 376 (340 pages))
Societe Mathematique de France   2016   
Lagrangian intersection Floer Theory - Anomaly and Obstruction, Part I & II
FUKAYA, Kenji, OH, Yong-Geun, OHTA, HIroshi, ONO Kaoru (Part:Joint Work, whole book)
American Mathematical Society & International Press   2009   

Conference Activities & Talks

 
Floer-Novikov theory, revisited [Invited]
ONO Kaoru
The third Pan-Pacific International Conference on Topology and Applications, November 8-13, Chengdu, China   9 Nov 2019   
Symplectic Floer theory [Invited]
ONO Kaoru
International Conference Morse theory and its Applications, Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev, Ukraine, September 25-   25 Sep 2019   
Lagrangian Floer theory on symplectic orbifolds [Invited]
ONO Kaoru
The 5th Japan-China Geometry Conference, Ritsumeikan University, September, 2019   3 Sep 2019   
Twisted sectors in Lagrangian Floer theory [Invited]
ONO Kaoru
C^0 aspects of symplectic geometry and Hamiltonian dynamics at Technion, Haifa   15 May 2019   
Floer-Novikov theory, revisited [Invited]
ONO Kaoru
Session on SYZ Mirror Symmetry and Enumerative Geometry in Spring Central and Western Joing Sectional Meeting of AMS   24 Mar 2019   
Twisted sectors in Lagrangian Floer theory [Invited]
ONO Kaoru
Differential Geometry, Geometric Analysis and PDEs, Academia Sinica, Taiwan   6 Oct 2018   
Some criteria for (super) heavy subsets in symplectic manifolds [Invited]
ONO Kaoru
Complex Geometry Seminar at YMSC, Tsinghua University   17 Sep 2018   
(Non-)displaceable qustions in symplectic geometry [Invited]
ONO Kaoru
14 Sep 2018   
Floer cohomology and covering spaces [Invited]
ONO Kaoru
Joint International Meeting of American Mathematical Society and Chinese Mathematical Socity, Symplectic Geometry Session, Fudan University   13 Jun 2018   
Examples of superheavy sets [Invited]
ONO Kaoru
NCTS Symplectic Expedition: Floer theory and beyond, Kenting Youth Activity Center   27 May 2018   
Anti-symplectic involution and twisted sectors in Lagrangian Floer theory [Invited]
ONO Kaoru
Simons Collaboration Workshop on Homological Mirror Symmetry and Hodge Theory, CMSA, Harvard University   10 Jan 2018   
Anti-symplectic involution and twisted sectors in Lagrangian Floer theory [Invited]
ONO Kaoru
Mirror Symmetry and Related Topics 2017   Dec 2017   
Twisted sectors in Lagrangian Floer theory [Invited]
ONO Kaoru
Mini-workshop on Symplectic Geometry, Universiteit Amsterdam   9 Oct 2017   
Twisted sectors in Lagrangian Floer theory [Invited]
ONO Kaoru
Seminar on symplectic and contact geometry, Universitat zu Koln   6 Oct 2017   
Twisted sectors in Lagrangian Floer theory [Invited]
ONO Kaoru
Algebraic and Symplectic Geometry at Crossroads   25 Sep 2017   
Twisted sectors in Lagrangian Floer theory [Invited]
ONO Kaoru
BICMR & IBS-CGP Joint Symplectic Geometry Workshop   21 Sep 2017   
Twisted sectors in Lagrangian Floer theory [Invited]
ONO Kaoru
Holomorphic curves and symplectic topology, Institut Mittag-Leffler   7 Aug 2017   
Symplectic Floer theory and its application [Invited]
ONO Kaoru
Differential Geometry Seminar, University of California, Irvine   10 Mar 2017   
Lagrangian Floer theory - around generating criterion for Fukaya cateogry [Invited]
ONO Kaoru
UK-Japan Winter School, University of London   4 Jan 2017   
Generation criterion for Fukaya category and related topics, Part II [Invited]
ONO Kaoru
Workshop on mirror symmetry and related topics, Kyoto 2016   13 Dec 2016   
Generation Criterion for Fukaya catetory and related topics Part I [Invited]
ONO Kaoru
Workshop on mirror symmetry and related topics, Kyoto 2016   12 Dec 2016   
Lagrangian Floer theory - Generating criterion for Fukaya category [Invited]
ONO Kaoru
KMS-MSJ joint meeting 2016 In International Conference for the 70th anniversary of Korean Mathematical Society, Seoul National Univeristy   22 Oct 2016   
Lagrangian Floer theory - Generating criterion for Fukaya category [Invited]
ONO Kaoru
Yamabe Memorial Symposium Symplectic Geometry and Complex Geometry, University of Minnesota   2 Oct 2016   
Lagrangian Floer theory and Generation Criterion for Fukaya category [Invited]
ONO Kaoru
Trends in Modern Geometry   22 Jul 2016   
Floer theory and covering spaces [Invited]
ONO Kaoru
Low Dimensional Topology and Symplectic Geometry, 7th Pacific Rim Mathematics Conference, Seoul National University   28 Jun 2016   
Some results on (super)heaviness for subsets in symplectic manifolds [Invited]
ONO Kaoru
International conference ``Gromov-Witten theory, Gauge theory and Dualities'', Australian National University, Kioloa Campus   12 Jan 2016   
Holomorphic curve technique in symplectic geometry - Lagrangian Floer theory [Invited]
ONO Kaoru
Conference on Geometry, Topology and Physics, NCTS Physics Division, National Tsing Hua University   27 Dec 2015   
Some results on (super)heaviness for subsets in symplectic manifolds [Invited]
ONO Kaoru
Workshop ``Symplectic Geometry and Topology'' at Uppsala University   21 Sep 2015   
Idempotents in quantum cohomology and non displaceable Lagrangian submanifolds [Invited]
ONO Kaoru
International Conference on Symplectic Geometry and Mathematical Physics at Chengdu   30 Jun 2015   
Mini course on Kuranishi structures [Invited]
Kaoru Ono
International Conference on Symplectic Geometry and Mathematical Physics at Chengdu 2015   Jun 2015   四川大学

Research Grants & Projects

 
Symplectic Geometry
Spin structures and Dirac operator