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Schrinking good coordinates systems associated to Kuranishi structures

Title
Schrinking good coordinates systems associated to Kuranishi structures
Authors
Fukaya, KOh, Y.-GOhta, HOno, K.
POSTECH Authors
Oh, Y.-G
Date Issued
Dec-2016
Publisher
International Press
Abstract
The notion of good coordinate system was introduced by Fukaya and Ono in [FOn] in their construction of virtual fundamental chain via Kuranishi structure which was also introduced therein. This notion was further clarified in [F0001] in some detail. In those papers no explicit ambient space was used and hence the process of gluing local Kuranishi charts in the given good coordinate system was not discussed there. In our more recent writing [F0002, F0003], we use an ambient space obtained by gluing the Kuranishi charts. In this note we prove in detail that we can always shrink the given good coordinate system so that the resulting 'ambient space' becomes Hausdorff. This note is self-contained and uses only standard facts in general topology.
URI
http://oasis.postech.ac.kr/handle/2014.oak/37130
DOI
10.4310/JSG.2016.V14.N4.A10
ISSN
1527-5256
Article Type
Article
Citation
Journal of Symplectic Geometry, vol. 14, no. 4, page. 1295 - 1310, 2016-12
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 OH, YONG GEUN
Dept of Mathematics
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