59 citations · 895 across the 77 of their papers we have counts for
6 papers · 1 filter
Universal Index Theorem on $Mob(S^1)\Diff_+(S^1)$
Lee-Peng Teo
By conformal welding, there is a pair of univalent functions associated to every point of the complex Kähler manifold $\Mob(S^1)\bk\Diff_+(S^1)$. For every integer $n\geq 1…
Coupled Modified KP Hierarchy and Its Dispersionless Limit
Takashi Takebe, Lee-Peng Teo
We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the ''half'' of the Toda lattice hierarchy as well as an…
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…
Fay-like identities of the Toda Lattice Hierarchy and its dispersionless limit
Lee-Peng Teo
In this paper, we derive the Fay-like identities of tau function for the Toda lattice hierarchy from the bilinear identity. We prove that the Fay-like identities are equivalent to…
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…