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math.SG2022
On Lagrangian tori in K3 surfaces
Gleb Smirnov
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 mod…
math.SG2022
Symplectic mapping class groups of blowups of tori
Gleb Smirnov
Let be a Kaehler form on the real -torus . Suppose that satisfies an irrationality condition which can be achieved by an arbitrarily small perturbation of . This…