Metric properties of the group of area preserving diffeomorphisms
Author(s)
Gambaudo, Jean-Marc
Date issued
2001
In
Transactions of the American Mathematical Society
Vol
11
No
353
From page
4661
To page
4672
Subjects
area preserving diffeomorphisms braids free groups quasi-isometry
Abstract
Area preserving diffeomorphisms of the 2-disk which are identity near the boundary form a group D-2 which can be equipped, using the L-2-norm on its Lie algebra, with a right invariant metric. With this metric the diameter of D-2 is infinite. In this paper we show that D-2 contains quasi-isometric embeddings of any finitely generated free group and any finitely generated abelian free group.
Publication type
journal article
File(s)