7 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 Mandelstam-Giddings-Wolpert diagrams, we introduce a new canonical representative of the conformal class of a bounded domain of arbitrary connectivity in $\mat…
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 .…
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…