Isospectrality, comparison formulas for determinants of Laplacian and flat metrics with non-trivial holonomy
| Autor: | Alexey Kokotov, Luc Hillairet |
|---|---|
| Přispěvatelé: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO), Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis Holonomy 01 natural sciences 0103 physical sciences 010307 mathematical physics 0101 mathematics [MATH]Mathematics [math] Laplace operator ComputingMilieux_MISCELLANEOUS Mathematics [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP] |
| Zdroj: | Proceedings of the American Mathematical Society Proceedings of the American Mathematical Society, American Mathematical Society, 2017, 145 (9), pp.3915-3928. ⟨10.1090/proc/13494⟩ |
| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/13494⟩ |
| Popis: | We study comparison formulas for ζ \zeta -regularized determinants of self-adjoint extensions of the Laplacian on flat conical surfaces of genus g ≥ 2 g\geq 2 . The cases of trivial and non-trivial holonomy of the metric turn out to differ significantly. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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