3 citations · 9 across the 15 of their papers we have counts for
7 papers · 1 filter
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…
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…
Symplectic mapping class groups of K3 surfaces and Seiberg-Witten invariants
Gleb Smirnov
The purpose of this note is to prove that the symplectic mapping class groups of many K3 surfaces are infinitely generated. Our proof makes no use of any Floer-theoretic machinery…
Seidel's theorem via gauge theory
Gleb Smirnov
A new proof is given that Seidel's generalized Dehn twist is not symplectically isotopic to the idenity.
Infinitely many non-isotopic real symplectic forms on
Gleb Smirnov
Let be a symplectic sphere, and let be an anti-symplectic involution of . We consider the product endowed with the…
Symplectic triangle inequality
Vsevolod Shevchishin, Gleb Smirnov
We prove a non-squeezing result for Lagrangian embeddings of the real projective plane into blow-ups of the symplectic ball.
Elliptic diffeomorphisms of symplectic 4-manifolds
Vsevolod Shevchishin, Gleb Smirnov
We show that symplectically embedded -tori give rise to certain elements in the symplectic mapping class group of -manifolds. An example is given where such elements are p…