Computing the twisted $L^{2}$-Euler characteristic
Year: 2025
Type: article
Abstract: We present an algorithm that computes Friedl and Lück’s twisted L^{2} -Euler characteristic for a suitable CW complex, employing Oki’s matrix expansion algorithm to indirectly evaluate the Dieudonné determinant. The algorithm needs to run for an extremely long time to certify its outputs, but a truncated, human-assisted version produces very good results in many cases, such as hyperbolic link complements, closed census 3 -manifolds, free-by-cyclic groups, and higher-dimensional examples, such as the fiber of the Ratcliffe–Tschantz manifold.
Source: Groups Geometry and Dynamics
DOI: 10.4171/ggd/859
Author: Jacopo Guoyi Chen
Institution: Scuola Normale Superiore
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4407149326