In the present paper, we introduce -torsion invariants 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 -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.
"-torsion invariants of a surface bundle over ." J. Math. Soc. Japan 56 (2) 503 - 518, April, 2004. https://doi.org/10.2969/jmsj/1191418642