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On the genus of elliptic fibrations
Author(s):
J.-B.
Gatsinzi
Journal:
Proc. Amer. Math. Soc.
132
(2004),
597-606.
MSC (2000):
Primary 55P62;
Secondary 55M30
Posted:
August 20, 2003
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Abstract:
A simply connected topological space is called elliptic if both  and  are finite-dimensional  -vector spaces. In this paper, we consider fibrations for which the fibre  is elliptic and  is evenly graded. We show that in the generic cases, the genus of such a fibration is completely determined by generalized Chern classes of the fibration.
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Additional Information:
J.-B.
Gatsinzi
Affiliation:
University of Botswana, Private Bag 0022, Gaborone, Botswana
Email:
gatsinzj@mopipi.ub.bw
DOI:
10.1090/S0002-9939-03-07203-4
PII:
S 0002-9939(03)07203-4
Keywords:
Rational homotopy,
Lusternik-Schnirelmann category,
genus,
sectional category
Received by editor(s):
October 6, 2001
Received by editor(s) in revised form:
September 19, 2002
Posted:
August 20, 2003
Additional Notes:
Supported by a grant from Université Catholique de Louvain
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2003,
American Mathematical Society
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