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 Mathematical Conference Abstracts. Document # cabb-33.