3 papers
math.SG2026
Contact action functional, calculus of variation and canonical generating function of Legendrian submanifolds
Yong-Geun Oh, Seungook Yu
In the present paper, we formulate a contact analogue on the one-jet bundle of Weinstein's observation which reads the classical action functional on the cotangent bundle is…
math.SG2025
Contact instantons and Proofs of Weinstein's conjecture and Arnold's chord conjecture
Yong-Geun Oh
The present paper is a continuation of the study of the interplay between the contact Hamiltonian dynamics and the moduli theory of (perturbed) contact instantons and its applicati…
math.SG2024
Rational contact instantons and Legendrian Fukaya category
Yong-Geun Oh
This is the first of a series of papers in preparation on the Fukaya-type category generated by tame Legendrian submanifolds, called the Legendrian contact instanton Fuk…