Abstract
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 –null surfaces in 4–manifolds. In our applications to link-homotopy, grope splitting serves as a geometric substitute for the Milnor group.
Citation
Vyacheslav S Krushkal. "Exponential separation in 4–manifolds." Geom. Topol. 4 (1) 397 - 405, 2000. https://doi.org/10.2140/gt.2000.4.397
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