Dmitrii Korikov

activity

20242026

most citedDetermination of period matrix of double of surface with boundary via its DN map

3 citations · 3 across the 9 of their papers we have counts for

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math.DG2025

Variational formulas for determinant of Laplacian on higher genus polyhedral surface

Dmitrii Korikov, Alexey Kokotov

Let $X$ be a Riemann surface of genus $g \geq 1$ endowed with a flat conical metric $m$ and let $det Δ$ be the $ζ$ -regularized determinant of the Friedrichs Laplacian on $(X,m…

math.DG2025

Regularized $ζ_{Δ} (1)$ for Polyhedra

Alexey Yu. Kokotov, Dmitrii V. Korikov

Let $X$ be a compact polyhedral surface (a compact Riemann surface with flat conformal metric $T$ having conical singularities). The $ζ$ -function $ζ_{Δ} (s)$ of the Friedri…

math.DG2024

Laplacians in spinor bundles over translation surfaces: self-adjoint extentions and regularized determinants

Alexey Kokotov, Dmitrii Korikov

We study the regularized determinants $det Δ$ of various self-adjoint extensions of symmetric Laplacians acting in spinor bundles over compact Riemann surfaces with flat si…

Variational formulas for determinant of Laplacian on higher genus polyhedral surface

Regularized ζΔ​(1) for Polyhedra

Laplacians in spinor bundles over translation surfaces: self-adjoint extentions and regularized determinants

Regularized $ζ_{Δ} (1)$ for Polyhedra