Geosphere laminations in free groups

Gadgil, Siddhartha and Pandit, Suhas (2012) Geosphere laminations in free groups. In: GEOMETRIAE DEDICATA, 158 (1). pp. 211-234.

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Abstract

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
Publication:	GEOMETRIAE DEDICATA
Publisher:	Springer Link
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
URI:	http://eprints.iisc.ac.in/id/eprint/44648

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