Personal Information

 

Name

FUKAYA Kenji

 

Section

Section II, Fourth Subsection

Date of Election

2009/12/14

Speciality

Mathematics

Selected Bibliography

1. Kuranishi structures and Virtual fundamental chains,
   (with Yong-Geun Oh, Hiroshi Ohta and Kaoru Ono) Springer Monograph in Mathematics, (2020) xv+638 pp, Springer.
2. Spectral invariants with bulk, quasimorphisms and Lagrangian Floer theory,
   (with Yong-Geun Oh, Hiroshi Ohta and Kaoru Ono) Memoir of Amer. Math. Soc. Vol. 260 1254 (2019), 260 pp .
3. Lagrangian Floer theory and mirror symmetry on compact toric manifolds,
   (with Yong-Geun Oh, Hiroshi Ohta and Kaoru Ono) Astérisque No. 376 (2016), vi+340 pp, French Mathematical Society.
4. Lagrangian Floer theory on compact toric manifolds, I
   (with Yong-Geun Oh, Hiroshi Ohta and Kaoru Ono), Duke Math. J. 151, (2010) 23-175.
5. Lagrangian Intersection Floer Theory: Anomaly and Obstruction -
   (with Yong-Geun Oh, Hiroshi Ohta and Kaoru Ono), AMS/IP Studies in Advanced Math. 46,International Press/American Mathemathcal Society (2009) 800 pp.
6. シンプレクティック幾何学, 岩波書店, 1999/2008年, 414ページ．
7. Arnold conjecture and Gromov-Witten invariant,
   (with Kaoru Ono), Topology. 38, (1999) 933 - 1048.
8. Zero-loop open string on cotangent bundle and Morse homotopy,
   (with Yong-Geun Oh), Asian Journal of Mathematics 1, (1998), 96 - 180.
9. ゲージー理論とトポロジー，シュプリンガー現代数学シリーズ第7巻 , 1995年, 449ページ.
10. Morse homotopy, A infinity-Category, and Floer homologies, in ``Proceedings of Garc Workshop on GEOMETRY and TOPOLOGY'' ed. by H.J. Kim, Seoul National University (1994), 1 - 102.
11. The fundamental group of almost nonnegatively curved manifolds,
    (with Takao Yamaguchi), Annals of Math. 136 (1992) 253 - 333.
12. A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters, J. Differential Geom. 28 (1988) 1-21.
13. Collapsing of Riemannian manifolds and Eigenvalues of Laplace operators, Inventiones Mathematicae 87 (1987) 517-55.