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math-ph2026
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…
math-ph2026
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 $…