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The toric cobordisms
Author(s):
Alexandra
Mozgova
Journal:
Proc. Amer. Math. Soc.
132
(2004),
299-303.
MSC (2000):
Primary 57M50, 57M07;
Secondary 55R10
Posted:
May 9, 2003
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Abstract:
We introduce the notions of oriented and unoriented cobordisms in the class of closed 3-manifolds fibered by tori  and compute the corresponding cobordism groups.
References:
-
- 1.
- G. Burde, H. Zieschang, A topological classification of certain 3-manifolds, Bulletin of AMS, 74 (1968), pp.122-124 MR 36:2153
- 2.
- M. Culler, Using surfaces to solve equations in free groups, Topology 20 (1981), pp.133-145 MR 82c:20052
- 3.
- A. Hatcher, Notes on 3-manifold Topology, available on http://math.cornell.edu/
 hatcher - 4.
- H. Zieschang, On toric fiberings over surfaces, Math. Notes 5 (1969), pp.341-345
- 5.
- H. Zieschang, Finite groups of mapping classes of surfaces, Springer-Verlag, Berlin Heidelberg New York, 1980, 1981 MR 86g:57001
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Additional Information:
Alexandra
Mozgova
Affiliation:
Laboratoire Emile Picard CNRS UMR 5580, Université Paul Sabatier Toulouse III, 118, route de Narbonne, 31077 Toulouse, France -- and -- Institute of Mathematics of Ukrainian National Academy of Science, vul. Tereschenkivska,~3, 252601 Kiev, Ukraine
Email:
mozgova@picard.ups-tlse.fr
DOI:
10.1090/S0002-9939-03-06996-X
PII:
S 0002-9939(03)06996-X
Keywords:
Torus bundles over circle,
toric cobordism
Received by editor(s):
March 1, 2001
Received by editor(s) in revised form:
August 23, 2002
Posted:
May 9, 2003
Additional Notes:
This work was supported by French Government Grant \#19981314.
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2003,
American Mathematical Society
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