On Lagrangian tori in K3 surfaces
Symplectic Geometry
2024-10-29 v3
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.
Cite
@article{arxiv.2211.00620,
title = {On Lagrangian tori in K3 surfaces},
author = {Gleb Smirnov},
journal= {arXiv preprint arXiv:2211.00620},
year = {2024}
}
Comments
accepted version