28 citations · 66 across the 6 of their papers we have counts for
6 papers
New simultaneous methods for finding all zeros of a polynomial
Jun-Seop Song
The purpose of this paper is to present three new methods for finding all simple zeros of polynomials simultaneously. First, we give a new method for finding simultaneously all sim…
Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries
Changzheng Qu, Junfeng Song, Ruoxia Yao
In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced. Geometric formulations to th…
On a Conjecture of Givental
Jun S. Song, Yun S. Song
These brief notes record our puzzles and findings surrounding Givental's recent conjecture which expresses higher genus Gromov-Witten invariants in terms of the genus-0 data. We li…
The Hurwitz Enumeration Problem of Branched Covers and Hodge Integrals
Stefano Monni, Jun S. Song, Yun S. Song
We use algebraic methods to compute the simple Hurwitz numbers for arbitrary source and target Riemann surfaces. For an elliptic curve target, we reproduce the results previously o…
Descendant Gromov-Witten Invariants, Simple Hurwitz Numbers, and the Virasoro Conjecture for P^1
Jun S. Song
In this ``experimental'' research, we use known topological recursion relations in genera-zero, -one, and -two to compute the n-point descendant Gromov-Witten invariants of P^1 for…
Three-Dimensional Gorenstein Singularities and SU(3) Modular Invariants
Jun S. Song
Using N=2 Landau-Ginzburg theories, we examine the recent conjectures relating the SU(3) WZW modular invariants, finite subgroups of SU(3) and Gorenstein singularities. All isolate…