Geosphere laminations in free groups
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We construct geosphere laminations for free groups, which are codimension one analogues of geodesic laminations on surfaces. Other analogues that have been constructed by several authors are dimension-one instead of codimension-one. Our main result is that the space of such laminations is compact. This in turn is based on the result that crossing, in the sense of Scott-Swarup, is an open condition. Our construction is based on Hatcher’s normal form for spheres in the model manifold.
KeywordsFree groups Laminations Splittings Scott-Swarup intersection numbers
Mathematics Subject Classification (2000)57M05 57M07 20E06
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- 7.Luo, F., Stong, R.: Cauchy Type Inequality and the Space of Measured Laminations, I, arXiv:math/0006007v1 [math.GT] (2 June 2000)Google Scholar