On Lagrangian tori in K3 surfaces
arXiv:2211.00620
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.
accepted version