44 citations · 74 across the 6 of their papers we have counts for
10 papers · 1 filter
Technical details on Kuranishi structure and virtual fundamental chain
Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1
This is an expository article on the theory of Kuranishi structure and is based on a series of pdf files we uploaded for the discussion of the google group named `Kuranishi' (with…
Floer homology of Lagrangian submanifolds
Kenji Fukaya
This is a translation of an article appeared in Japanese in Suugaku 63 (2011), no. 1, 43-66 (MR2790665) and is a survey of Lagrangian Floer homology which the author studies jointl…
Displacement of polydisks and Lagrangian Floer theory
Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1
There are two purposes of the present article. One is to correct an error in the proof of Theorem 6.1.25 in \cite{fooo:book}, from which Theorem J \cite{fooo:book} follows. In the…
Lagrangian Floer theory on compact toric manifolds: survey
Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1
This article is a survey of a series of papers [FOOO3,FOOO4,FOOO5] in which we developed the method of calculation of Floer cohomology of Lagrangian torus orbits in compact toric m…
Counting pseudo-holomorphic discs in Calabi-Yau 3 fold
Kenji Fukaya
n this paper we define an invariant of a pair of 6 dimensional symplectic %optional manifold with vanishing 1st Chern class and its Lagrangian submanifold with vanishing Maslov ind…
Anchored Lagrangian submanifolds and their Floer theory
Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1
We introduce the notion of (graded) anchored Lagrangian submanifolds and use it to study the filtration of Floer' s chain complex. We then obtain an anchored version of Lagrangian…