On topologically distinct infinite families of exact Lagrangian fillings

Roman Golovko

Address: Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 18000 Praha 8, Czech Republic

E-mail: golovko@karlin.mff.cuni.cz

Abstract: In this note we construct examples of closed connected Legendrian submanifolds in high dimensional contact vector space that admit an arbitrary finite number of topologically distinct infinite families of diffeomorphic, but not Hamiltonian isotopic exact Lagrangian fillings.

AMSclassification: primary 53D12; secondary 53D42.

Keywords: polyfillability, Legendrian submanifold, exact Lagrangian filling.

DOI: 10.5817/AM2022-5-287