Geodesic
Continuous interval exchange actions
Novak, Christopher F1
1Department of Mathematics and Statistics, The University of Michigan-Dearborn, 4901 Evergreen Road, Dearborn, MI 48128 USA
Algebraic and Geometric Topology, Tome 10 (2010) no. 3, pp. 1609-1625
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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.

DOI : 10.2140/agt.2010.10.1609
Keywords: interval exchange, group action, one-parameter subgroup

Novak, Christopher F  1

1 Department of Mathematics and Statistics, The University of Michigan-Dearborn, 4901 Evergreen Road, Dearborn, MI 48128 USA 
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Novak, Christopher F. Continuous interval exchange actions. Algebraic and Geometric Topology, Tome 10 (2010) no. 3, pp. 1609-1625. doi: 10.2140/agt.2010.10.1609

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