L2-torsion invariants and homology growth of a torus bundle over S1

Teruaki Kitano; Takayuki Morifuji; Mitsuhiko Takasawa

doi:10.3792/pjaa.79.76

L²-torsion invariants and homology growth of a torus bundle over S¹

Teruaki Kitano, Takayuki Morifuji, Mitsuhiko Takasawa

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We introduced an infinite sequence of L²-torsion invariants for surface bundles over the circle in [4]. 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.

Original language	English
Pages (from-to)	76-79
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	79
Issue number	4
DOIs	https://doi.org/10.3792/pjaa.79.76
Publication status	Published - 2003 Apr
Externally published	Yes

Keywords

Hyperbolic volume
L-torsion
Nilpotent quotient
Surface bundle

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3792/pjaa.79.76

Cite this

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abstract = "We introduced an infinite sequence of L2-torsion invariants for surface bundles over the circle in [4]. 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.",

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KW - L-torsion

KW - Nilpotent quotient

KW - Surface bundle

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