Compact polyhedral surfaces of an arbitrary genus and determinants of Laplacians

Alexey Kokotov

Type: Preprint

Publication Date: 2009-01-01

Citations: 12

DOI: https://doi.org/10.48550/arxiv.0906.0717

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Genus one polyhedral surfaces, spaces of quadratic differentials on tori and determinants of Laplacians	2006	Yulia Klochko Alexey Kokotov
+	Polyhedral surfaces and determinant of Laplacian	2012	Alexey Kokotov
+ PDF Chat	On Determinants of Laplacians on Compact Riemann Surfaces Equipped with Pullbacks of Conical Metrics by Meromorphic Functions	2018	Victor Kalvin
+ PDF Chat	Regularized $\zeta_{\Delta}(1)$ for polyhedra	2025	Alexey Kokotov Dmitrii Korikov
+	Tau-functions on spaces of holomorphic differentials over Riemann surfaces and determinants of Laplacians in flat metrics with conic singularities over Riemann surfaces	2004	Alexey Kokotov D. Korotkin
+	Tau-functions on spaces of holomorphic differentials over Riemann surfaces and determinants of Laplacians in flat metrics with conic singularities	2004	Alexey Kokotov D. Korotkin
+ PDF Chat	Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities	2020	Victor Kalvin
+ PDF Chat	Determinant of the Laplacian on Tori of Constant Positive Curvature with one Conical Point	2018	Victor Kalvin Alexey Kokotov
+	Determinant of Laplacian on tori of constant positive curvature with one conical point	2017	Victor Kalvin Alexey Kokotov
+	Determinant of Laplacian on tori of constant positive curvature with one conical point	2017	Victor Kalvin Alexey Kokotov
+ PDF Chat	On the Spectral Theory of the Laplacian on Compact Polyhedral Surfaces of Arbitrary Genus	2010	Alexey Kokotov
+	Genus one compact polyhedral surfaces, spaces of quadratic differentials on tori and determinants of Laplacians	2009	Yuliya Klochko
+ PDF Chat	Metrics of Constant Positive Curvature with Conical Singularities, Hurwitz Spaces, and Determinants of Laplacians	2017	Victor Kalvin Alexey Kokotov
+	Extremals of determinants for Laplacians on discrete surfaces	2024
+	Determinants of Laplacians for constant curvature metrics with three conical singularities on 2-sphere	2021	Victor Kalvin
+	Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula	2004	Alexey Kokotov D. Korotkin
+ PDF Chat	Conformal invariants for determinants of laplacians on Riemann surfaces	1987	William Weisberger
+ PDF Chat	Determinants of Laplacians on the space of conical metrics on the sphere	1993	Hala Khuri King
+ PDF Chat	Determinants of Laplacians on the Space of Conical Metrics on the Sphere	1993	Hala Khuri King
+	Zeta-regularized determinants of Laplacians on polygonal domains	2012	Julie Rowlett

Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities	2020	Victor Kalvin
+ PDF Chat	Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow	2013	Alex Eskin Maxim Kontsevich Anton Zorich
+	Finite deficiency indices and uniform remainder in Weyl's law	2010	Luc Hillairet
+ PDF Chat	A heat trace anomaly on polygons	2015	Rafe Mazzeo Julie Rowlett
+ PDF Chat	Krein Formula and S-Matrix for Euclidean Surfaces with Conical Singularities	2012	Luc Hillairet Alexey Kokotov
+ PDF Chat	Spanning trees, cycle-rooted spanning forests on discretizations of flat surfaces and analytic torsion	2022	Siarhei Finski
+ PDF Chat	Spectral determinants for twist field correlators	2018	A.V. Belitsky
+	A Polyakov Formula for Sectors	2017	Clara L. Aldana Julie Rowlett
+ PDF Chat	Spectral determinant on Euclidean isosceles triangle envelopes of fixed area as a function of angles: absolute minimum and small-angle asymptotics	2020	Victor Kalvin
+	Determinant of Friederichs Dirichlet Laplacians on $2$-dimensional hyperbolic cones	2020	Victor Kalvin

Works Cited by This (21)

Action	Title	Year	Authors
+	Elliptic Boundary Value Problems in Domains with Piecewise Smooth Boundary	1997	Boris A. Plamenevskij
+ PDF Chat	Curvature and the eigenvalues of the Laplacian	1967	H. P. McKean I. M. Singer
+	Lectures on Riemann Surfaces	1981	Otto Förster
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris
+ PDF Chat	Theta Functions on Riemann Surfaces	1973	John D. Fay
+ PDF Chat	Spectral geometry of singular Riemannian spaces	1983	Jeff Cheeger
+ PDF Chat	Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula	2009	A. Yu. Kokotov Dmitry Korotkin
+	Further results on Functional Determinants of Laplacians in Simplicial Complexes	1994	Erik Aurell P. Salomonson
+	Analytic Torsion for Complex Manifolds	1973	Daniel Ray I. M. Singer
+ PDF Chat	Functional determinants on Mandelstam diagrams	1989	Eric D’Hoker D. H. Phong