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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Reidemeister torsion of $T^{2}$-bundles over $S^{1}$ for $SL(2;\mathbf {C})$-representations
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by Teruaki Kitano PDF
Proc. Amer. Math. Soc. 128 (2000), 3075-3079 Request permission

Abstract:

We compute the $SL(2,\mathbf {C})$-Reidemeister torsion of torus bundles over $S^{1}$ which monodromies are hyperbolic elements in $SL(2,\mathbf {Z})$.
References
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Additional Information
  • Teruaki Kitano
  • Affiliation: Ecole Normale Superieure de Lyon UMPA, 46 Allee d’Italie 69364 Lyon, France
  • Address at time of publication: Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo, Japan
  • Email: tkitano@umpa.ens-lyon.fr, kitano@math.titech.ac.jp
  • Received by editor(s): April 27, 1998
  • Received by editor(s) in revised form: November 3, 1998
  • Published electronically: March 3, 2000
  • Additional Notes: The author was supported in part by JSPS research fellowships and the Fuujukai Foundation
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 3075-3079
  • MSC (1991): Primary 57M05, 57M50, 57Q10
  • DOI: https://doi.org/10.1090/S0002-9939-00-05349-1
  • MathSciNet review: 1664382