Noah Kieserman, Bowdoin College
The Liouville Phenomenon in the Deformation of Coisotropic Submanifolds

The $L^\infty$ algebra governing deformation of coisotropic submanifolds in symplectic manifolds is known explicitly in terms of geometric operators, after Oh and Park. We explore a simple example of this deformation problem, particularly the geometry of the canonical foliation. We find that the obstruction theory of the $L^\infty$ algebra makes a fine distinction, of whether the defining parameter is a Liouville number or not.