Structure of the image of (pseudo)-holomorphic discs with totally real boundary condition
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SCOPUS
- Title
- Structure of the image of (pseudo)-holomorphic discs with totally real boundary condition
- Authors
- Kwon, D; Oh, YG
- Date Issued
- 2000-01
- Publisher
- INT PRESS BOSTON
- Abstract
- In this paper, we prove that the image of a (pseudo)-holomorphic map from the unit disc with its boundary on a given totally real submanifold is represented as a finite union of the images of "simple" discs allowing multiplicity with boundaries on the same totally real submanifold. This in particular fills a technical gap in relation to the Fredholm and the intersection theory of Gromov's (pseudo)holomorphic discs, which has been present in the literature on the applications of pseudo-holomorphic discs.
- Keywords
- PSEUDO-HOLOMORPHIC CURVES; LAGRANGIAN INTERSECTIONS; FLOER COHOMOLOGY; SINGULARITIES; 4-MANIFOLDS; DISKS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/13686
- DOI
- 10.4310/CAG.2000.v8.n1.a2
- ISSN
- 1019-8385
- Article Type
- Article
- Citation
- COMMUNICATIONS IN ANALYSIS AND GEOMETRY, vol. 8, no. 1, page. 31 - 82, 2000-01
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