Affiliation:
1. Department of Mathematics University of California Davis, Shields Avenue Davis California USA
Abstract
AbstractThis note explores the use of Newton polytopes in the study of Lagrangian fillings of Legendrian submanifolds. In particular, we show that Newton polytopes associated to augmented values of Reeb chords can distinguish infinitely many distinct Lagrangian fillings, both for Legendrian links and higher dimensional Legendrian spheres. The computations we perform work in finite characteristic, which significantly simplifies arguments and also allows us to show that there exist Legendrian links with infinitely many nonorientable exact Lagrangian fillings.
Funder
National Science Foundation
Alfred P. Sloan Foundation