118 citations · 333 across the 19 of their papers we have counts for
19 papers · 1 filter
Meromorphic connections in filtered categories
Hiroshi Ohta, Fumihiko Sanda
In this note, introducing notions of CH module, CH morphism and CH connection, we define a meromorphic connection in the "-direction" on periodic cyclic homology of an $A_\infty…
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…
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…
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…
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…
Kuranishi structure, Pseudo-holomorphic curve, and Virtual fundamental chain: Part 1
Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1
This is the first part of the article we promised at the end of [FOOO13, Section 1]. We discuss the foundation of the virtual fundamental chain and cycle technique, especially its…