Dmitrii Korshunov

activity

20222026

collaborators

5 papers

math.DG2026

Geodesic nets on the Euclidean plane and closed geodesic nets on Euclidean surfaces

Ivan Frolov, Denis Gorodkov, Dmitrii Korshunov +1

We prove that if $M$ is a closed Riemannian surface of diameter $d$ and area $v$ with sectional curvature in the $[- 1, 1]$ interval, then a closed geodesic net of length $l$ has at…

math.CV2026

Polynomial contractions of $C^{d}$ and degree growth

Dmitrii Korshunov

We give a simple example of a polynomial contraction automorphism of $C^{d}$ , $d \geq 3$ , with unbounded degree growth. Combined with Poincaré-Dulac theorem it provides an al…

math.DG2024

Sub-twistor metrics

Dmitrii Korshunov

We consider a natural distance function on the period space of a hyperkähler manifold associated to non-holonomic constraints imposed by twistor lines. These metrics were introduce…

math.GT2024

A note on lattice knots

Sasha Anan'in, Alexandre Grishkov, Dmitrii Korshunov

The aim of this note is to share the observation that the set of elementary operations of Turing on lattice knots can be reduced to just one type of simple local switches.

math.SG2022

Moduli spaces of polygons and deformations of polyhedra with boundary

Sasha Anan'in, Dmitrii Korshunov

We prove a conjecture of Ian Agol: all isometric realizations of a polyhedral surface with boundary sweep out an isotropic subset in the Kapovich-Millson moduli space of polygons i…

Geodesic nets on the Euclidean plane and closed geodesic nets on Euclidean surfaces

Polynomial contractions of Cd and degree growth

Sub-twistor metrics

A note on lattice knots

Moduli spaces of polygons and deformations of polyhedra with boundary

Polynomial contractions of $C^{d}$ and degree growth