A critical point analysis of Landau-Ginzburg potentials with bulk in Gelfand-Cetlin systems
SCIE
SCOPUS
- Title
- A critical point analysis of Landau-Ginzburg potentials with bulk in Gelfand-Cetlin systems
- Authors
- Cho, Y.; Kim, Y.; Oh, Y.-G.
- Date Issued
- 2021-06
- Publisher
- Duke University Press
- Abstract
- Using the bulk deformation of Floer cohomology by Schubert classes and non-Archimedean analysis of Fukaya-Oh-Ohta-Ono's bulk-deformed potential function, we prove that every complete flag manifold Fl(n) (n �� 3) with a monotone Kirillov-Kostant-Souriau (KKS) symplectic form carries a continuum of nondisplaceable Lagrangian tori which degenerates to a nontorus fiber in the Hausdorff limit. In particular, the Lagrangian S3-fiber in Fl(3) is nondisplaceable, answering a question raised by Nohara and Ueda who computed its Floer cohomology to be vanishing. ? 2021 by Kyoto University.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/113086
- DOI
- 10.1215/21562261-2021-0002
- ISSN
- 2156-2261
- Article Type
- Article
- Citation
- KYOTO JOURNAL OF MATHEMATICS, vol. 1, no. 1, page. 1 - 46, 2021-06
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.