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G^3 = Geometric Groups on the Gulf coast
May 28-29, 1999
University of South Alabama
Mobile, AL, USA

Organizers
Phil Bowers, Stephen Brick, Jon Corson

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Tree valued Morse functions
by
Noel Brady
University of Oklahoma
Coauthors: Andy Miller

This is the first of two talks describing joint work with Andy Miller on applications of tree valued Morse functions.

We introduce the notion of a tree valued Morse function on a simplicial complex, and describe some results which relate the connectivity properties of e-links (analogs of ascending and descending links) of the Morse function with the connectivity of point preimages. One application is a simple procedure to check that certain 2-dimensional CAT(0) groups are free-by-free.

Date received: May 18, 1999

Copyright © 1999 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 # cada-07.