On Lagrangian tori in K3 surfaces
Abstract
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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