22 citations · 82 across the 15 of their papers we have counts for
10 papers · 1 filter
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.
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…
Regularity of the eta function on manifolds with cusps
Paul Loya, Sergiu Moroianu, Jinsung Park
On a spin manifold with conformal cusps, we prove under an invertibility condition at infinity that the eta function of the twisted Dirac operator has at most simple poles and is r…
Adiabatic decomposition of the zeta-determinant and the Dirichlet to Neumann operator
Jinsung Park, Krzysztof P. Wojciechowski
We prove an adiabatic decomposition formula of the zeta-determinant of the Laplace type operator with respect to Dirichlet boundary condition. We allow the non-invertible tangentia…