A Polyakov formula for surfaces with conical singularities
Clara L. Aldana, Julie Rowlett, Werner Müller · arXiv (Cornell University) · 2014
Abstract. We consider surfaces with isolated conical singularities and finite area convex Euclidean circular sectors. We prove a variational Polyakov for-mula which shows how the zeta-regularized determinant of the Laplacian varies with respect to the opening angle. Varying the angle corresponds to conformal deformations in the direction of conformal factors with logarithmic singulari-ties at the conical points. 1.