In the present paper, we introduce L2-torsion invariants τk(k ≥ 1) for surface bundles over the circle and investigate them from the view point of the mapping class group of a surface. It is conjectured that they converge to the L2-torsion for the regular representation of the fundamental group. Further we give an explicit and computable formula of the first two invariants by using the Mahler measure.
ASJC Scopus subject areas
- 数学 (全般)