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Representing homology classes by locally flat 2-spheres |
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| Authors: | Ronnie Lee and Dariusz M Wilczyski |
| Institution: | (1) Department of Mathematics, Yale University, 06520 New Haven, CT, USA;(2) Department of Mathematics, University of Notre Dame, 46556 Notre Dame, IN, USA |
| Abstract: | We prove an existence result for topologically locally flat embeddings of 2-spheres in simply connected 4-manifolds. This topological result is deduced from a splitting theorem for pointed Hermitian modules over a cyclic group ring. A stability result for such modules is also proved. This applies to the isotopy classification of locally flat embeddings.Partially supported by the NSF. |
| Keywords: | Locally flat embedding pointed Hermitian module splitting stability |
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