3 papers
math.SG2026
On symplectic fillings of spinal open book decompositions II: Holomorphic curves and classification
Samuel Lisi, Jeremy Van Horn-Morris, Chris Wendl
In this second paper of a two-part series, we prove that whenever a contact 3-manifold admits a uniform spinal open book decomposition with planar pages, its (weak, strong and/or e…
math.SG2026
On symplectic fillings of spinal open book decompositions I: Geometric constructions
Samuel Lisi, Jeremy Van Horn-Morris, Chris Wendl
A spinal open book decomposition on a contact manifold is a generalization of a supporting open book which exists naturally e.g. on the boundary of a symplectic filling with a Lefs…
math.SG2025
Lagrangian Hofer-Zehnder Capacities and Energy-Capacity Inequalities
Samuel Lisi, Antonio Rieser
We introduce a new coisotropic Hofer-Zehnder capacity and use it to prove an energy-capacity inequality for displaceable Lagrangians.