G. Smirnov

collaborators

3 papers

math.DG2025

Anti-self-dual blowups II

Vsevolod Shevchishin, Gleb Smirnov

Let $X$ be a closed, oriented four-manifold with $b_{2}^{+} \leq 3$ , and suppose $X$ contains a collection of pairwise disjoint embedded $(- 2)$ -spheres. We prove that there is a Rieman…

math.DG2024

Anti-self-dual blowups

Vsevolod Shevchishin, Gleb Smirnov

Let $X$ be a closed, oriented four-manifold containing an embedded sphere with self-intersection number $(- 1)$ . Suppose that $b_{2}^{+} (X) \leq 3$ . We show that there exists a Riemanni…

math.SG2024

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…