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  Determinant of Laplacian on tori of constant positive curvature with one conical point

Kalvin, V., & Kokotov, A. (2019). Determinant of Laplacian on tori of constant positive curvature with one conical point. Canadian Mathematical Bulletin, 62(2), 341-347. doi:10.4153/CMB-2018-036-9.

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arXiv:1712.04588.pdf (Preprint), 94KB
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MPIM Preprint series 2018-10
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 Creators:
Kalvin, Victor, Author
Kokotov, Alexey1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Differential Geometry, Spectral Theory
 Abstract: 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 of curvature $1$ having a single conical singularity of angle $4\pi$.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 7
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 Table of Contents: -
 Rev. Type: Peer
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Title: Canadian Mathematical Bulletin
  Abbreviation : Canad. Math. Bull.
Source Genre: Journal
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Publ. Info: Cambridge University Press
Pages: - Volume / Issue: 62 (2) Sequence Number: - Start / End Page: 341 - 347 Identifier: -