Dmitrii Korikov

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math.SP2026

On a polygon version of Wiegmann-Zabrodin formula

Alexey Kokotov, Dmitrii Korikov

Let $P$ be a convex polygon in $C$ and let $I^_{D, P}$ be the operator of the Dirichlet boundary value problem for the Lapalcian $I^ = - 4 \partial_{z} \partial_{z ˉ}$ in $P$ …

math.SP2025

On an infinitesimal Polyakov formula for genus zero polyhedra

Alexey Kokotov, Dmitrii Korikov

Let $X$ be a genus zero compact polyhedral surface (the Riemann sphere equipped with a flat conical metric $m$ ). We derive the variational formulas for the determinant of the Lapla…

math.SP2024

Determinants of pseudo-laplacians and $I^¶^{(reg)} (1)$ for spinor bundles over Riemann surfaces

Alexey Kokotov, Dmitrii Korikov

Let $P$ be a point of a compact Riemann surface $X$ . We study self-adjoint extensions of the Dolbeault Laplacians in hermitian line bundles $L$ over $X$ initially defined on sectio…

On a polygon version of Wiegmann-Zabrodin formula

On an infinitesimal Polyakov formula for genus zero polyhedra

Determinants of pseudo-laplacians and I^¶(reg)(1) for spinor bundles over Riemann surfaces

Determinants of pseudo-laplacians and $I^¶^{(reg)} (1)$ for spinor bundles over Riemann surfaces