M. Nenasheva

On the Dirichlet-to-Neumann conformal invariant of bounded planar domains

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 $\mathbb{C}$ as a flat conical surface with geodesic boundary (a"truncated light-cone diagram", simply LC-diagram in the sequel). The space of th...