3 citations · 3 across the 7 of their papers we have counts for
9 papers
Spectral Geometry of Hurwitz Spaces with Arbitrary Ramification
Jia-Ming, Liou
We study the Friedrichs Laplacian associated with the pullback of the round metric on \(\mb P^1\) by a nonconstant meromorphic function \(φ:X\to\mb P^1\) on a compact Riemann surfa…
An Explicit Model for Conic Laplacians on \(\mb P^1\)
Jia-Ming, Liou
We study an explicit model of a conic Laplacian on \(\mb P^1\) with cone angle \(2πn\) at \(0\) and \(\infty\). Using Fourier decomposition, we reduce the eigenvalue equation to a…
Weyl Curves and Zeta Determinants of Conic Laplacians on Riemann Surfaces
Jia-Ming, Liou
We study self-adjoint realizations of conic Laplacians on compact Riemann surfaces with radial conic metrics whose cone angles are integral multiples of \(2π\). Their critical asym…
Asymptotic Expansion of the Gaussian Integral Operators on Riemannian submanifolds of
Jia-Ming, Liou, Chi-Chien Lu
The Gaussian integral operator arises naturally as a local Euclidean approximation of the heat semigroup on a Riemannian manifold and plays a pivotal role in the analysis of graph…
An algebraic construction of a solution to the mean field equations on hyperelliptic Curves and its diabatic limit
Jia-Ming Liou, Chih-Chun Liu
In this paper, we give an algebraic construction of the solution to the following mean field equation on a genus hyperelliptic…
Weierstrass cycles and tautological rings in various moduli spaces of algebraic curves
Jia-Ming Liou, Albert Schwarz, Renjun Xu
We analyze Weierstrass cycles and tautological rings in moduli space of smooth algebraic curves and in moduli spaces of integral algebraic curves with embedded disks with special a…
Local Conduction at the BiFeO3-CoFe2O4 Tubular Oxide Interface
Ying-Hui Hsieh, Jia-Ming Liou, Bo-Chao Huang +6
In strongly correlated oxides, heterointerfaces, manipulating the interaction, frustration, and discontinuity of lattice, charge, orbital, and spin degrees of freedom, generate new…
Equivariant Cohomology of Infinite-Dimensional Grassmannian and Shifted Schur Functions
Jia-Ming Liou, Albert Schwarz
We study the multiplication and comultiplication in equivariant cohomology of Sato Grassmannian
Moduli Spaces and Grassmannian
Jia-Ming Liou, Albert Schwarz
We calculate the homomorphism of the cohomology induced by the Krichever map of moduli spaces of curves into infinite-dimensional Grassmannian. This calculation can be used to comp…