Algebraic & Geometric Topology 10 (2010) 1609–1625

DOI: 10.2140/agt.2010.10.1609

Abstract

Let E denote the group of all interval exchange transformations on 0 ≤ x < 1 Given a suitable topological group structure on E, it is possible to classify all one-parameter interval exchange actions (continuous homomorphisms R →E). In particular, up to conjugacy in E, any one-parameter interval exchange action factors through a rotational torus action.

Keywords

interval exchange, group action, one-parameter subgroup

Mathematical Subject Classification

Primary: 37E05, 54H15

Secondary: 37A10, 57M60, 57S05

References

Publication

Received: 20 February 2010
Accepted: 29 April 2010
Published: 21 July 2010

Authors