3 papers
math.SG2023
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.SG2023
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…
math.SG2023
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…