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20072024
most citedLagrangian Floer theory on compact toric manifolds I

118 citations · 336 across the 23 of their papers we have counts for

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math.SG2024

Corrigendum of "Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks I, Surveys in Differential Geometry XXII (2018), 133-190"

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1

This is a corrigendum of Lemma 9.1 of the paper [FOOO3] in the title. This lemma is not correct as pointed out by A. Daemi and a referee of the paper [DF]. The corrigendum does not…

math.SG2023

Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds

Bohui Chen, Kaoru Ono, Bai-Ling Wang

The notion of twisted sectors play a crucial role in orbifold Gromov-Witten theory. We introduce the notion of dihedral twisted sectors in order to construct Lagrangian Floer theor…

math.SG2018★ 3 cited

Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: II

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1

This is the second of a series of two articles in which we provide detailed and self-contained account of the construction of a system of Kuranishi structures on the moduli spaces…

math.SG2017★ 6 cited

Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: I

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1

This is the first of two articles in which we provide detailed and self-contained account of the construction of a system of Kuranishi structures on the moduli spaces of pseudo hol…

math.SG2017★ 11 cited

Kuranishi structure, Pseudo-holomorphic curve, and virtual fundamental chain: Part 2

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1

This article is the second part of the article we promised to write at the end of Section 1 of [FOOO15] (arXiv:1209.4410). (Part I appeared in [Part I] (arXiv:1503.07631).) We disc…

math.SG2016★ 10 cited

Exponential decay estimates and smoothness of the moduli space of pseudoholomorphic curves

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1

In this paper, we examine the dependence of standard gluing process for pseudoholomorphic curves under the change of the length of the neck-region with respect to the cylindric…