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International Conference on Non-Positive Curvature in Group Theory, Topology, and Geometry
May 28-31, 1998
Vanderbilt University
Nashville, TN, USA

Organizers
B. Hughes, M. Mihalik, E. Prassidis, J. Ratcliffe, K. Ruane, M. Sapir, E. Schechter

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Exceptional Seifert group actions on R
by
Melanie Stein
Trinity College
Coauthors: Rachel Roberts

If the fundamental group of a 3-manifold acts non-trivially on an R-tree, then the manifold contains a measured lamination which has the given R-tree as space of leaves. Essential laminations (not necessarily measured) give rise to tree-like leaf spaces called order trees. We show that every group action on R of the fundamental group of an exceptional Seifert fibered space M corresponds to an action on the order tree determined by the space of leaves of a foliation on M.

Date received: April 21, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabb-33.