L<SUP>2</SUP>-torsion invariants of a surface bundle over S<SUP>1</SUP>
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概要
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In the present paper, we introduce L<SUP>2</SUP>-torsion invariants τ<SUB>k</SUB>(k≥q 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 L<SUP>2</SUP>-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.
著者
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Kitano Teruaki
Department Of Mathematical And Computing Sciences Tokyo Institute Of Technology
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Morifuji Takayuki
Department Of Mathematics Tokyo University Of Agriculture And Technology
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Takasawa Mitsuhiko
Department Of Mathematical And Computing Sciences Tokyo Institute Of Technology
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