Simplicial dynamics and some decision problems in topology
by
Jérôme Los
Université de Nice

Simplicial dynamics occurs very often in topological dynamics. That is the case, for instance, for homeomorphisms or flows when a Markov partition is available. In turn, the simplicial structure if it is associated with a finiteness result is very usefull for some decision problems such as: - Is a surface homeomorphism isotopic to a pseudo-Anosov? - Are two elements of the mapping class group of a surface conjugated? - Does a braid admits a destabilization? - Does a hyperbolic flow admits a global cross section? In this talk I will discuss several aspects of simplicial dynamics which has been used recently to solve such decision problems.

Date received: January 31, 1996

Copyright © 1996 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 # caaa-52.