Journal of Symplectic Geometry
Volume 18 (2020)
Ideal Liouville Domains, a cool gadget
Pages: 769 – 790
Liouvile domains are central objects in symplectic geometry today, but they have unsatisfactory aspects due to the requested choice of Liouville forms and to the non-compactness of their completions. Ideal Liouville domains, in contrast, are compact manifolds with boundary merely equipped with a symplectic form in the interior. Still, their isomorphism classes are in one-to-one correspondence with the deformation classes of usual Liouville domains. They are also very useful to relate contact structures with open books.
Partially supported by the ANR grant MICROLOCAL (ANR-15CE40-0006).
Received 19 March 2018
Accepted 16 July 2019
Published 30 July 2020