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Tori in certain aspherical four-manifolds
Author(s):
Allan
L.
Edmonds
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1253-1255.
MSC (1991):
Primary 57N13, 57N35
MathSciNet review:
1443382
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Abstract:
The homology classes represented by embedded or mapped tori in the product of two surfaces are completely characterized.
References:
- 1.
- A. L. Edmonds, Embedding coverings in bundles, Indiana University preprint, 1996.
- 2.
- P. B. Kronheimer and T. S. Mrowka, The genus of embedded surfaces in the projective plane, Math. Research Letters 1 (1994), 797-808. MR 96a:57073
- 3.
- Ronnie Lee and Dariusz Wilczy\'{n}ski, Representing homology classes by locally flat surfaces of minimum genus, preprint (1995)
- 4.
- M. D. Meyerson, Representing homology classes of closed orientable surfaces, Proc. Amer. Math. Soc. 61 (1976), 181-182. MR 54:13916
- 5.
- R. Skora, The degree of a map between surfaces, Math. Ann. 276 (1987), 415-423. MR 88f:57018
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Additional Information:
Allan
L.
Edmonds
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email:
edmonds@indiana.edu
DOI:
10.1090/S0002-9939-98-04280-4
PII:
S 0002-9939(98)04280-4
Received by editor(s):
October 7, 1996
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
1998,
American Mathematical Society
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