Determinant of Friederichs Dirichlet Laplacians on $2$-dimensional hyperbolic cones

Autor:	Kalvin, Victor
Rok vydání:	2020
Předmět:	Mathematics - Spectral Theory Mathematical Physics Mathematics - Differential Geometry Mathematics - Functional Analysis Mathematics - Number Theory 58J52 11M36
Druh dokumentu:	Working Paper
DOI:	10.1142/S0219199721501078
Popis:	We explicitly express the spectral determinant of Friederichs Dirichlet Laplacians on the 2-dimensional hyperbolic (Gaussian curvature -1) cones in terms of the cone angle and the geodesic radius of the boundary. The related results in the recent paper "Riemann-Roch isometries in the non-compact orbifold setting," J. Eur. Math. Soc. 22 (2020) by G. Freixas i Montplet and A. von Pippich turn out to be incorrect.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.05407 Zobrazit plný text záznamu View this record from Arxiv