3 papers
math.SG2025
Contact instantons, anti-contact involution and proof of Shelukhin's conjecture
Yong-Geun Oh
In this paper, we prove Shelukhin's conjecture on the translated points on any closed contact manifold which reads that for any choice of function and contact…
math.SG2024
Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization
Taesu Kim, Yong-Geun Oh
In this paper, we first provide precise tensorial formulae for the asymptotic operators of contact instantons and of pseudoholomorphic curves $u:(\dotΣ,j) \to (Q…
math.SG2024
Geometry and analysis of contact instantons and entanglement of Legendrian links I
Yong-Geun Oh
The purposes of the present paper are two-fold. Firstly we further develop the interplay between the contact Hamiltonian geometry and the geometric analysis of Hamiltonian-perturbe…