118 citations · 598 across the 81 of their papers we have counts for
83 papers
Analysis of pseudoholomorphic curves on symplectization: Revisit via contact instantons
Yong-Geun Oh, Taesu Kim
In this survey article, we present the analysis of pseudoholomorphic curves on the symplectization of contact manifold $(Q,λ)…
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 \t…
Fukaya category of infinite-type surfaces
Jaeyoung Choi, Yong-Geun Oh
In this paper, we construct a Fukaya category of any infinite type surface whose objects are gradient sectorial Lagrangians. This class of Lagrangian submanifolds is introduced by…
Contact instantons with Legendrian boundary condition: a priori estimates, asymptotic convergence and index formula
Yong-Geun Oh, Seungook Yu
In Part I, we establish nonlinear ellipticity of the equation of contact instantons with Legendrian boundary condition on punctured Riemann surfaces by proving the a priori ellipti…
Legendrian contact instanton cohomology and its spectral invariants on the one-jet bundle
Yong-Geun Oh, Seungook Yu
In the present paper, we develop the Floer-style elliptic Morse theory for the Hamiltonian-perturbed contact action functional attached to the Legendrian links. Motivated by the pr…
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…