22 citations · 82 across the 15 of their papers we have counts for
18 papers
Liouville Action for Harmonic Diffeomorphisms
Jinsung Park
In this paper, we introduce a Liouville action for a harmonic diffeomorphism from a compact Riemann surface to a compact hyperbolic Riemann surface of genus . We derive the…
Reidemeister torsion, Complex volume, and Zograf infinite product for hyperbolic 3-manifolds with cusps
Jinsung Park
In this paper, we prove an equality which involves Reidemeister torsion, complex volume, and Zograf infinite product for hyperbolic 3-manifolds with cusps.
Liouville action and Holography on quasi-Fuchsian deformation spaces
Jinsung Park, Lee-Peng Teo
We study the Liouville action for quasi-Fuchsian groups with parabolic and elliptic elements. In particular, when the group is Fuchsian, the contribution of elliptic elements to th…
Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces
Jinsung Park, Leon A. Takhtajan, Lee-Peng Teo
For the TZ metric on the moduli space of -pointed rational curves, we construct a Kähler potential in terms of the Fourier coefficients of the Klein's Hauptm…
Tau function and Chern-Simons invariant
Andrew Mcintyre, Jinsung Park
We define a Chern-Simons invariant for a certain class of infinite volume hyperbolic 3-manifolds. We then prove an expression relating the Bergman tau function on a cover of the Hu…
Bergman and Calderón projectors for Dirac operators
Colin Guillarmou, Sergiu Moroianu, Jinsung Park
For a Dirac operator over a spin compact Riemannian manifold with boundary , we give a natural construction of the Calderón projector and of the as…