Vasily Rogov

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20242026

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math.DG2026

Holomorphic families of knots

Rodion Déev, Vasily Rogov

Let $(M, [g])$ be a $3$ -dimensional conformal manifold. The space of knots $Kn (M)$ in $M$ is an infinite-dimensional manifold that is known to carry an almost comple…

math.DG2024

On the metric Kollár-Pardon problem

Vasily Rogov

Let $(M, g)$ be a compact real analytic Riemannian manifold and $π : M \to M$ its universal cover. Assume that $M$ can be realised as a manifold definab…