Floer cohomology and flips
Floer cohomology and flips
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DOI：
10.1090/memo/1372
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发表时间：
2022-09
影响因子：
1.9
通讯作者：
François Charest;C. Woodward
中科院分区：
文献类型：
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作者：
François Charest;C. Woodward
我们表明，爆破或反向翻转（在最小模型程序的意义上）的合理辛流形的点中心创建Floer非平凡拉格朗日环面。这些结果是紧辛流形的福谷范畴的拓扑分解的一部分，其最小模型程序的无奇性运行类似于Bondal-Orlov（相干层的导出范畴，2002）和Kawamata（环面簇的导出范畴，2006）对紧复流形上相干层的有界导出范畴的描述。
We show that blow-ups or reverse flips (in the sense of the minimal model program) of rational symplectic manifolds with point centers create Floer-non-trivial Lagrangian tori. These results are part of a conjectural decomposition of the Fukaya category of a compact symplectic manifold with a singularity-free running of the minimal model program, analogous to the description of Bondal-Orlov (Derived categories of coherent sheaves, 2002) and Kawamata (Derived categories of toric varieties, 2006) of the bounded derived category of coherent sheaves on a compact complex manifold.