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Proceedings of the American Mathematical Society

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

 

 

On the simplicial volumes of fiber bundles


Authors: M. Hoster and D. Kotschick
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
Published electronically: October 16, 2000
MathSciNet review: 1709754
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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
Email: dieter@member.ams.org

DOI: https://doi.org/10.1090/S0002-9939-00-05645-8
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
Article copyright: © Copyright 2000 American Mathematical Society