• Corpus ID: 203610175

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

  title={Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical metrics},
  author={Victor Kalvin},
  journal={arXiv: Mathematical Physics},
  • Victor Kalvin
  • Published 30 September 2019
  • Mathematics
  • arXiv: Mathematical Physics
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. 

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