Hodge–de Rham Theory and Analytic Torsion for Spaces with Horn Type Singularities
Abstract
We study the global analytic properties of a space $X$ with a horn type singularity. In particular, we introduce some de Rham complex of square integrable forms and we describe its homology and the spectral properties of the associated Hodge Laplace operator. All this is applied to produce a suitable description of the analytic torsion of $X$ and to prove an extension of the Cheeger Müller theorem.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Topology and Set Theory
Geometric and Algebraic Topology
Publication details
- Journal / source
- Moscow Mathematical Journal
- Publisher
- National Research University, Higher School of Economics (HSE)
- Volume
- 26
- Issue
- 2
- Pages
- 189–254
- Publication date
- 1 January 2026
- Language
- EN