$L^2$-torsion invariants and the Magnus representation of the mapping class group

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146831In this paper, we study a series of $L^2$-torsion invariants from the viewpoint of the mapping class group of a surface. We establish some vanishing theorems for them. Moreover we explicitly calculate the first two invariants and compare them with hyperbolic volumes.14 pagesGeometric Topology57Q10; 57M05; 58J52$L^2$-torsion invariants and the Magnus representation of the mapping class grouptext