辛爆破上的拉格朗日Floer同调

IF 0.5 4区数学 Q3 MATHEMATICS

Asian Journal of Mathematics Pub Date : 2019-04-08 DOI:10.4310/ajm.2020.v24.n2.a3

Andr'es Pedroza

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引用次数: 1

摘要

我们展示了如何在拉格朗日子流形的固有变换的一点爆破中，仅根据基流形的信息来计算拉格朗日-弗洛尔同调。作为一个例子，我们提出了Clifford环面适当变换的（CP^2，\omega）的一点爆破中拉格朗日量子同调的另一种计算方法。

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Lagrangian Floer homology on symplectic blow ups

We show how to compute the Lagrangian Floer homology in the one-point blow up of the proper transform of Lagrangians submanifolds, solely in terms of information of the base manifold. As an example we present an alternative computation of the Lagrangian quantum homology in the one-point blow up of (CP^2,\omega) of the proper transform of the Clifford torus.

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