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On the simplicial volumes of fiber bundles
Author(s):
M.
Hoster;
D.
Kotschick
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1229-1232.
MSC (2000):
Primary 55R10;
Secondary 57N65, 57R22
Posted:
October 16, 2000
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Abstract:
We show that surface bundles over surfaces with base and fiber of genus at least  have non-vanishing simplicial volume.
References:
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- 1.
- M. F. Atiyah, The signature of fibre bundles, in Global Analysis, Papers in Honour of K. Kodaira, Tokyo University Press 1969. MR 40:8071
- 2.
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- 3.
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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:
10.1090/S0002-9939-00-05645-8
PII:
S 0002-9939(00)05645-8
Received by editor(s):
April 13, 1999
Received by editor(s) in revised form:
June 25, 1999
Posted:
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 of article:
Copyright
2000,
American Mathematical Society
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