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

Teruaki Kitano, Takayuki Morifuji, Mitsuhiko Takasawa

研究成果: Article

1 引用 (Scopus)

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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.

元の言語English
ページ(範囲)76-79
ページ数4
ジャーナルProceedings of the Japan Academy Series A: Mathematical Sciences
79
発行部数4
DOI
出版物ステータスPublished - 2003 4
外部発表Yes

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ASJC Scopus subject areas

  • Mathematics(all)

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