Exotic iterated Dehn twists
Symplectic Geometry
2015-05-27 v7 Geometric Topology
Abstract
Consider cotangent bundles of exotic spheres, with their canonical symplectic structure. They admit automorphisms which preserve the part at infinity of one fibre, and which are analogous to the square of a Dehn twist. Pursuing that analogy, we show that they have infinite order up to isotopy (inside the group of all automorphisms with the same behaviour).
Cite
@article{arxiv.1305.4615,
title = {Exotic iterated Dehn twists},
author = {Paul Seidel},
journal= {arXiv preprint arXiv:1305.4615},
year = {2015}
}
Comments
v2: minor changes; v3: temporarily withdrawn; v4: total rewrite; v5: some changes to the topological arguments; v6/7: minor changes, typo removal