Symplectomorphisms of exotic discs

Name: Work Video:
Duration: 3 min 30 s
Description: 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.
Roger Casals; Ailsa Keating; Ivan Smith
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