23 citations · 59 across the 18 of their papers we have counts for
18 papers
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.…
Green function and self-adjoint Laplacians on polyhedral surfaces
Alexey Kokotov, Kelvin Lagota
Using Roelcke formula for the Green function, we explicitly construct a basis in the kernel of the adjoint Laplacian on a compact polyhedral surface and compute the -matrix…
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…
Metrics of constant positive curvature with conical singularities, Hurwitz spaces, and
Victor Kalvin, Alexey Kokotov
Let be a meromorphic function of degree with simple poles and simple critical points on a compact Riemann surface of genus and let be…
DtN isospectrality, flat metrics with non-trivial holonomy and comparison formula for determinants of Laplacian
Luc Hillairet, Alexey Kokotov
We study comparison formulas for -regularized determinants of self-adjoint extensions of the Laplacian on flat conical surfaces of genus . The cases of trivial and non-…