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Maps on 3-manifolds
given by surgery
Boldizsár Kalmár and András I. Stipsicz |
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Vol. 257 (2012), No. 1, 9–35
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Abstract |
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Suppose that the 3-manifold M is given by integral surgery along a link L ⊂ S3. In the following we construct a stable map from M to the plane, whose singular set is canonically oriented. We obtain upper bounds for the minimal numbers of crossing singularities, nonsimple singularities, and connected components of fibers of stable maps from M to the plane in terms of properties of L. |
Keywords
stable map, 3-manifold, surgery, negative knot,
Thurston-Bennequin number
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Mathematical Subject Classification 2010
Primary: 57R45
Secondary: 57M27
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Milestones
Received: 30 April 2011
Revised: 7 May 2012
Accepted: 9 May 2012
Published: 19 June 2012
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Authors |
| Boldizsár Kalmár | |
| Alfréd Rényi Institute of
Mathematics Hungarian Academy of Sciences Reáltanoda utca 13-15 1053 Budapest Hungary |
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| András I. Stipsicz | |
| Alfréd Rényi Institute of
Mathematics Hungarian Academy of Sciences Reáltanoda utca 13-15 1053 Budapest Hungary |
Institute for Advanced Study Princeton, NJ 08540 United States |
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