Gadgil, Siddhartha and Pandit, Suhas (2012) Geosphere laminations in free groups. In: GEOMETRIAE DEDICATA, 158 (1). pp. 211-234.
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We construct 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.
|Item Type:||Journal Article|
|Additional Information:||Copy right for this article belongs to Spinger Science|
|Keywords:||Free groups;Laminations;Splittings;Scott-Swarup intersection numbers|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||21 Jul 2012 06:44|
|Last Modified:||21 Jul 2012 06:44|
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