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Oh, Yong Geun
기하학 수리물리 연구단
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A critical point analysis of Landau-Ginzburg potentials with bulk in Gelfand-Cetlin systems

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Title
A critical point analysis of Landau-Ginzburg potentials with bulk in Gelfand-Cetlin systems
Author(s)
Cho, Yunhyung; Kim, Yoosik; Yong-Geun Oh
Publication Date
2021-06
Journal
Kyoto Journal of Mathematics, v.61, no.2, pp.259 - 304
Publisher
Duke University Press
Abstract
© 2021 by Kyoto University.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.
URI
https://pr.ibs.re.kr/handle/8788114/9871
DOI
10.1215/21562261-2021-0002
ISSN
2156-2261
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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