有理拉格朗日浸入的束量化与交

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier Pub Date : 2020-05-11 DOI:10.5802/aif.3554

Tomohiro Asano, Yuichi Ike

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引用次数: 11

摘要

基于微局部槽轮理论，我们研究了余切丛中的有理拉格朗日浸入。我们构造了有理拉格朗日浸入的sheaf量子化，并研究了它在Tamarkin范畴中的性质。利用sheaf量子化，我们用纯sheaf理论的方法给出了位移能量的显式界，并给出了浸入及其Hamiltonian像的交点数量的Betti/cup长度估计。

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Sheaf quantization and intersection of rational Lagrangian immersions

We study rational Lagrangian immersions in a cotangent bundle, based on the microlocal theory of sheaves. We construct a sheaf quantization of a rational Lagrangian immersion and investigate its properties in Tamarkin category. Using the sheaf quantization, we give an explicit bound for the displacement energy and a Betti/cup-length estimate for the number of the intersection points of the immersion and its Hamiltonian image by a purely sheaf-theoretic method.

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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.