23 citations · 59 across the 18 of their papers we have counts for
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Laplacians in spinor bundles over translation surfaces: self-adjoint extentions and regularized determinants
Alexey Kokotov, Dmitrii Korikov
We study the regularized determinants of various self-adjoint extensions of symmetric Laplacians acting in spinor bundles over compact Riemann surfaces with flat si…
Flat conical Laplacian in the square of the canonical bundle and its regularized determinants
Alexey Kokotov
Let be a compact Riemann surface of genus equipped with flat conical metric , where be a holomorphic quadratic differential on with simple zeroes.…
Determinant of Laplacian on tori of constant positive curvature with one conical point
Victor Kalvin, Alexey Kokotov
We find an explicit expression for the zeta-regularized determinant of (the Friedrichs extension) of the Laplacian on a compact Riemann surface of genus one with conformal metric o…
On the asymptotics of determinant of Laplacian at the principal boundary of the principal stratum of the moduli space of Abelian differentials
Alexey Kokotov
We study the asymptotics of the determinant of Laplacian on a translation surface (a compact Riemann surface equipped with a conformal flat conical metric with trivial holonomy) of…
Compact polyhedral surfaces of an arbitrary genus and determinants of Laplacians
Alexey Kokotov
Compact polyhedral surfaces (or, equivalently, compact Riemann surfaces with conformal flat conical metrics) of an arbitrary genus are considered. After giving a short self-contain…
Genus one polyhedral surfaces, spaces of quadratic differentials on tori and determinants of Laplacians
Yulia Klochko, Alexey Kokotov
We prove a formula for the determinant of Laplacian on an arbitrary compact polyhedral surface of genus one. This formula generalizes the well-known Ray-Singer result for a flat to…