Determinant of the Laplacian on Tori of Constant Positive Curvature with one Conical Point
Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 341-347
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We find an explicit expression for the zeta-regularized determinant of (the Friedrichs extensions of) the Laplacians on a compact Riemann surface of genus one with conformal metric of curvature $1$ having a single conical singularity of angle $4\unicode[STIX]{x1D70B}$.
Mots-clés :
determinant of Laplacian, moduli space, spectral zeta-function, curvature one, conical point, conical singularity, Riemann surface, compact Riemann surface
Kalvin, Victor; Kokotov, Alexey. Determinant of the Laplacian on Tori of Constant Positive Curvature with one Conical Point. Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 341-347. doi: 10.4153/CMB-2018-036-9
@article{10_4153_CMB_2018_036_9,
author = {Kalvin, Victor and Kokotov, Alexey},
title = {Determinant of the {Laplacian} on {Tori} of {Constant} {Positive} {Curvature} with one {Conical} {Point}},
journal = {Canadian mathematical bulletin},
pages = {341--347},
year = {2019},
volume = {62},
number = {2},
doi = {10.4153/CMB-2018-036-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-036-9/}
}
TY - JOUR AU - Kalvin, Victor AU - Kokotov, Alexey TI - Determinant of the Laplacian on Tori of Constant Positive Curvature with one Conical Point JO - Canadian mathematical bulletin PY - 2019 SP - 341 EP - 347 VL - 62 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-036-9/ DO - 10.4153/CMB-2018-036-9 ID - 10_4153_CMB_2018_036_9 ER -
%0 Journal Article %A Kalvin, Victor %A Kokotov, Alexey %T Determinant of the Laplacian on Tori of Constant Positive Curvature with one Conical Point %J Canadian mathematical bulletin %D 2019 %P 341-347 %V 62 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-036-9/ %R 10.4153/CMB-2018-036-9 %F 10_4153_CMB_2018_036_9
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