Isospectrality, comparison formulas for determinants of Laplacian and flat metrics with non-trivial holonomy
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- by Luc Hillairet and Alexey Kokotov PDF
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Abstract:
We study comparison formulas for $\zeta$-regularized determinants of self-adjoint extensions of the Laplacian on flat conical surfaces of genus $g\geq 2$. The cases of trivial and non-trivial holonomy of the metric turn out to differ significantly.References
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Additional Information
- Luc Hillairet
- Affiliation: MAPMO (UMR 7349 Université d’Orléans-CNRS) UFR Sciences, Bâtiment de mathématiques rue de Chartres, BP 6759 45067 Orléans Cedex 02, France
- MR Author ID: 705179
- Email: luc.hillairet@univ-orleans.fr
- Alexey Kokotov
- Affiliation: Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, Quebec, H3G 1M8 Canada
- MR Author ID: 252297
- Email: alexey.kokotov@concordia.ca
- Received by editor(s): November 15, 2015
- Received by editor(s) in revised form: September 25, 2016
- Published electronically: April 12, 2017
- Communicated by: Ken Ono
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3915-3928
- MSC (2010): Primary 30F30, 30F45, 35P99; Secondary 58J52, 30F10, 32G15
- DOI: https://doi.org/10.1090/proc/13494
- MathSciNet review: 3665043