论文标题

在K3表面的Lagrangian Tori上

On Lagrangian tori in K3 surfaces

论文作者

Smirnov, Gleb

论文摘要

K3表面中的每个Maslov-Zero Lagrangian圆环都有非平凡的同源性类别。该注释旨在将此结果扩展到带有Maslov索引的Lagrangian Tori,该指数与零Modulo 4一致。相反,我们表明,每个同源性的Lagrangian torus都一定是Maslov-Zero。

Every Maslov-zero Lagrangian torus in a K3 surface has non-trivial homology class. This note aims to extend this result to Lagrangian tori with Maslov indices congruent to zero modulo 4. Conversely, we show that every homologically non-trivial Lagrangian torus is necessarily Maslov-zero.

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