Prefer a chat interface with context about you and your work?
Surfaces with boundary: Their uniformizations, determinants of Laplacians, and isospectrality
Let Σ be a compact surface of type (g,n), n>0, obtained by removing n disjoint disks from a closed surface of genus g. Assuming that χ(Σ)<0, we show that on Σ, the set of flat metrics that have the same Laplacian spectrum of the Dirichlet boundary condition is compact in …