Kaoru Ono

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Kaoru Ono ( Japanese 小野 薫 , Ono Kaoru ; * 1962 ) is a Japanese mathematician who studies symplectic geometry and especially Floer homology and holomorphic curves in symplectic manifolds. He is Professor at the Research Institute for Mathematical Sciences (RIMS) at Kyōto University .

Ono received his PhD in 1990 ( Equivariant index of Dirac operators ) from the University of Tokyo . In 1999, together with Kenji Fukaya, he proved a weak form of the Arnold conjecture in symplectic geometry. With Fukaya he constructed Floer cohomology of Hamiltonian diffeomorphisms on any closed symplectic manifolds and Gromow-Witten invariant and with Fukaya, Y. Oh and Hiroshi Ohta he developed the Floer theory of Lagrange submanifolds (Lagrange-cut-Floer homology) with applications in symplectic geometry and homological mirror symmetry. With Floer-Nowikow cohomology, he proved the -flow conjecture.

In 2005 he received the Autumn Prize of the Japanese Mathematical Society and in 1999 the Geometry Prize. In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Development in symplectic Floer theory ).

Fonts

  • with Fukaya: Arnold conjecture and Gromov-Witten invariant , Topology, Volume 38, 1999, pp. 933-1048
  • Development in symplectic Floer theory , International Congress of Mathematicians, 2006, Proc. ICM Madrid, Volume 2, 1061
  • with Fukaya, Oh, Ohta: Lagrangian Intersection Floer Theory . AMS / IP Studies in Advanced Mathematics, 2009

Web links

Individual evidence

  1. ↑ Entry 000000236193 in the Doctoral Dissertation Bibliographic Database of the National Institute of Informatics
  2. ^ Kaoru Ono: Equivariant index of Dirac operators . In: Tohoku Mathematical Journal . Vol. 42, No. 3 , 1990, p. 319-332 , doi : 10.2748 / tmj / 1178227613 (full text).
personal data
SURNAME Ono, Kaoru
ALTERNATIVE NAMES 小野 薫 (Japanese)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH 1962