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.
|Number of pages||16|
|Journal||Journal of the Mathematical Society of Japan|
|Publication status||Published - 2004|
- Hyperbolic volume
- Nilpotent quotient
- Surface bundle
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