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Tori in certain aspherical four-manifolds

Author: 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 [Enhancements On Off] (What's this?)

  • 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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Allan L. Edmonds

Received by editor(s): October 7, 1996
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 1998 American Mathematical Society

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