Symplectomorphisms of exotic discs
Symplectic Geometry
2017-03-17 v1
Abstract
We construct a symplectic structure on a disc that admits a compactly supported symplectomorphism which is not smoothly isotopic to the identity. The symplectic structure has an overtwisted concave end; the construction of the symplectomorphism is based on a unitary version of the Milnor-Munkres pairing. En route, we introduce a symplectic analogue of the Gromoll filtration.
Cite
@article{arxiv.1703.05403,
title = {Symplectomorphisms of exotic discs},
author = {Roger Casals and Ailsa Keating and Ivan Smith},
journal= {arXiv preprint arXiv:1703.05403},
year = {2017}
}
Comments
17 pages