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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
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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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