Surveys in Differential Geometry
Volume 22 (2017)
Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: I
Pages: 133 – 190
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 holomorphic disks, using the exponential decay estimate given in [FOOO7]. This article completes the construction of a Kuranishi structure of a single moduli space. This article is an improved version of [FOOO4, Part 4] and its mathematical content is taken from our earlier writing [FOn, FOOO2, FOOO4, FOOO7].
Kenji Fukaya is supported partially by NSF Grant No. 1406423 and Simons Collaboration on homological Mirror symmetry, Yong-Geun Oh by the IBS project IBS-R003-D1, Hiroshi Ohta by JSPS Grant-in-Aid for Scientific Research No. 15H02054 and Kaoru Ono by JSPS Grant-in-Aid for Scientific Research, Nos. 21244002, 26247006.
Published 13 September 2018