3 citations · 3 across the 9 of their papers we have counts for
10 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…
On the Dirichlet-to-Neumann conformal invariant of bounded planar domains
Alexey Kokotov, Dmitrii Korikov, Marina Nenasheva
Using an analogue of the Mandelstam-Giddings-Wolpert diagrams, we introduce a new canonical representative of the conformal class of a bounded domain of arbitrary connectivity in $…
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.
Variational formulas for determinant of Laplacian on higher genus polyhedral surface
Dmitrii Korikov, Alexey Kokotov
Let be a Riemann surface of genus endowed with a flat conical metric and let be the -regularized determinant of the Friedrichs Laplacian on $(X,m…
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 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 .…
Determination of period matrix of double of surface with boundary via its DN map
Dmitrii Korikov
As is well-known, a conformal class of a surface with boundary is determined by its DN map . In the paper, the algorithm for determination of the -period matrix $\mat…
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 Friedri…
Determinants of pseudo-laplacians and for spinor bundles over Riemann surfaces
Alexey Kokotov, Dmitrii Korikov
Let be a point of a compact Riemann surface . We study self-adjoint extensions of the Dolbeault Laplacians in hermitian line bundles over initially defined on sectio…
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 si…