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June 2021 A critical point analysis of Landau–Ginzburg potentials with bulk in Gelfand–Cetlin systems
Yunhyung Cho, Yoosik Kim, Yong-Geun Oh
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Kyoto J. Math. 61(2): 259-304 (June 2021). DOI: 10.1215/21562261-2021-0002

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) (n3) 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.

Dedication

In honor of Kenji Fukaya’s 60th birthday

Citation

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Yunhyung Cho. Yoosik Kim. Yong-Geun Oh. "A critical point analysis of Landau–Ginzburg potentials with bulk in Gelfand–Cetlin systems." Kyoto J. Math. 61 (2) 259 - 304, June 2021. https://doi.org/10.1215/21562261-2021-0002

Information

Received: 12 November 2019; Revised: 21 February 2020; Accepted: 27 May 2020; Published: June 2021
First available in Project Euclid: 7 April 2021

Digital Object Identifier: 10.1215/21562261-2021-0002

Subjects:
Primary: 53D40
Secondary: 14M15, 37J35, 53D12

Rights: Copyright © 2021 by Kyoto University

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Vol.61 • No. 2 • June 2021
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