We introduced an infinite sequence of L2-torsion invariants for surface bundles over the circle in . In this note, we investigate in detail the first two terms for a torus bundle case. In particular, we show that the first invariant can be described by the asymptotic behavior of the order of the first homology group of a cyclic covering.
|Number of pages||4|
|Journal||Proceedings of the Japan Academy Series A: Mathematical Sciences|
|Publication status||Published - 2003 Apr|
- Hyperbolic volume
- Nilpotent quotient
- Surface bundle
ASJC Scopus subject areas