# Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical metrics

@article{Kalvin2019PolyakovAlvarezTC, title={Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical metrics}, author={Victor Kalvin}, journal={arXiv: Mathematical Physics}, year={2019} }

We prove Polyakov-Alvarez type comparison formulas for the determinants of Friederichs selfadjoint extensions of Laplacians corresponding to conformally equivalent conical metrics on compact Riemann surfaces. We illustrate our results by obtaining new and recovering known explicit formulas for determinants of Laplacians on surfaces with conical singularities.

## 4 Citations

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