8 papers
The determinant of the Dirichlet-to-Neumann map for a surface with boundary and periods of holomorphic differentials on its double
Dmitrii Korikov, Alexey Kokotov
Let be a smooth orientable Riemannian manifold of genus with Riemannian metric and connected boundary . Let be the Dirichlet-to-Neumann map o…
Regularized for Polyhedra
Alexey Yu. Kokotov, Dmitrii V. Korikov
Let be a compact polyhedral surface (a compact Riemann surface with flat conformal metric having conical singularities). The -function of the Frie…
On a polygon version of Wiegmann-Zabrodin formula
Alexey Kokotov, Dmitrii Korikov
Let be a convex polygon in and let be the operator of the Dirichlet boundary value problem for the Lapalcian in …
On an infinitesimal Polyakov formula for genus zero polyhedra
Alexey Kokotov, Dmitrii Korikov
Let be a genus zero compact polyhedral surface (the Riemann sphere equipped with a flat conical metric ). We derive the variational formulas for the determinant of the Lapla…
On perturbations of the DN map of a disk causing changes of surface topology
Dmitrii Korikov
We establish the degeneration of the Schottky double of a genus 1 Riemann surface with boundary as its DN map tends to the DN map of the unit disk.
Laplacians in spinor bundles over translation surfaces: self-adjoint extentions and regularized determinants
Alexey Kokotov, Dmitrii Korikov
We study the regularized determinants of various self-adjoint extensions of symmetric Laplacians acting in spinor bundles over compact Riemann surfaces with flat s…