59 citations · 895 across the 77 of their papers we have counts for
9 papers · 1 filter
Resolvent Trace Formula and Determinants of Laplacians on Orbifold Riemann Surfaces
Lee-Peng Teo
For a nonnegative integer, we consider the -Laplacian acting on the space of -differentials on a confinite Riemann surface which has ramification points. The tr…
Alternating Double Euler Sums, Hypergeometric Identities and a Theorem of Zagier
Lee-Peng Teo
In this work, we derive relations between generating functions of double stuffle relations and double shuffle relations to express the alternating double Euler sums $ζ\left(\overli…
The Weil--Petersson geometry of the moduli space of Riemann surfaces
Lee-Peng Teo
In [4], Z. Huang showed that in the thick part of the moduli space of compact Riemann surfaces of genus , the sectional curvature of the Weil--Petersson metric i…
Bers isomorphism on the universal Teichmüller curve
Lee-Peng Teo
We study the Bers isomorphism between the Teichmüller space of the parabolic cyclic group and the universal Teichmüller curve. We prove that this is a group isomorphism and its der…
Holomorphic factorization of determinants of Laplacians using quasi-Fuchsian uniformization
Andrew Mcintyre, Lee-Peng Teo
For a quasi-Fuchsian group $\Ga$ with ordinary set , and the Laplacian on \n differentials on $\Ga\bkΩ$, we define a notion of a Bers dual basis for…
Löwner equations and dispersionless hierarchies
Takashi Takebe, Lee-Peng Teo, Anton Zabrodin
Using the Hirota representation of dispersionless dKP and dToda hierarchies, we show that the chordal Löwner equations and radial Löwner equations respectively serve as consistency…