$L^2$-torsion of fibrations
Geometric Topology
2024-11-08 v1 Differential Geometry
Abstract
The paper studies the -torsion of fibrations, focusing on cases that relax acyclicity and the determinant class condition. We prove the sum formula and the product formula for -torsion in the extended abelian category. The desired formula for -torsion of a simple fibration is obtained under the assumption that the fibers have zero Euler characteristic.
Keywords
Cite
@article{arxiv.2411.04254,
title = {$L^2$-torsion of fibrations},
author = {Chengzhang Sun},
journal= {arXiv preprint arXiv:2411.04254},
year = {2024}
}