2019/11/11 by Yunhyung Cho, Cho, Yunhyung, Yoosik Kim +3 · 1 citation
Mathematics · #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG
paper · pdf · doi:10.48550/arxiv.1911.04302
30 pages, 6 figures, Following a journal editors' suggestion, we split our previous posting arXiv:1704.07213. This article is a revised and improved version of Part 2 of arXiv:1704.07213
arxiv created 2019/11/11 · arxiv updated 2019/11/12
Using the bulk-deformation of Floer cohomology by Schubert cycles 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 symplectic form carries a continuum of non-displaceable Lagrangian tori which degenerates to a non-torus fiber in the Hausdorff limit. In particular, the Lagrangian S3-fiber in Fl(3) is non-displaceable, answering the question of which was raised by Nohara--Ueda who computed its Floer cohomology to be vanishing.