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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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On the simplicial volumes of fiber bundles
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by M. Hoster and D. Kotschick PDF
Proc. Amer. Math. Soc. 129 (2001), 1229-1232 Request permission

Abstract:

We show that surface bundles over surfaces with base and fiber of genus at least $2$ have non-vanishing simplicial volume.
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Additional Information
  • M. Hoster
  • Affiliation: Mathematisches Institut, Universität München, Theresienstr. 39, 80333 München, Germany
  • Email: hoster@rz.mathematik.uni-muenchen.de
  • D. Kotschick
  • Affiliation: Mathematisches Institut, Universität München, Theresienstr. 39, 80333 München, Germany
  • MR Author ID: 267229
  • Email: dieter@member.ams.org
  • Received by editor(s): April 13, 1999
  • Received by editor(s) in revised form: June 25, 1999
  • Published electronically: October 16, 2000
  • Additional Notes: The second author is grateful to the Institut Mittag-Leffler for hospitality during the preparation of this paper.
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1229-1232
  • MSC (2000): Primary 55R10; Secondary 57N65, 57R22
  • DOI: https://doi.org/10.1090/S0002-9939-00-05645-8
  • MathSciNet review: 1709754