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Exponential separation in 4–manifolds
Vyacheslav S Krushkal
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Geometry & Topology 4 (2000)
397–405
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Abstract
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We use a new geometric construction, grope splitting, to give a sharp
bound for separation of surfaces in 4–manifolds. We also describe
applications of this technique in link-homotopy theory, and to the
problem of locating π1–null surfaces in
4–manifolds. In our applications to link-homotopy, grope splitting
serves as a geometric substitute for the Milnor group.
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Keywords
4–manifolds, gropes,
π1–null immersions, link homotopy
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Mathematical Subject Classification
Primary: 57N13
Secondary: 57M25, 57N35, 57N70
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Publication
Received: 27 June 2000
Accepted: 3 November 2000
Published: 10 November 2000
Proposed: Robion Kirby
Seconded: Wolfgang Metzler, Cameron Gordon
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