4 citations · 9 across the 7 of their papers we have counts for
7 papers
On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in
Bong H. Lian, Minxian Zhu
In [HLY1], Hosono, Lian, and Yau posed a conjecture characterizing the set of solutions to certain Gelfand-Kapranov-Zelevinsky hypergeometric equations which are realized as period…
A motivated proof of Gordon's identities
James Lepowsky, Minxian Zhu
We generalize the "motivated proof" of the Rogers-Ramanujan identities given by Andrews and Baxter to provide an analogous "motivated proof" of Gordon's generalization of the Roger…
Vertex operator algebras associated to modified regular representations of the Virasoro algebra
Igor Frenkel, Minxian Zhu
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a family of vertex operator algebras of rank associated to the modified regular rep…
Elliptic genera of Berglund-Hübsch models
Minxian Zhu
We match the elliptic genus of a Berglund-Hübsch model with the supertrace of on a vertex algebra . We show that it is a weak Jacobi form a…
On the semi-regular module and vertex operator algebras
Minxian Zhu
We prove a conjecture stated in a previous paper by the author about the existence of canonical filtrations for a family of vertex operator algebras in rational levels.
Regular representations of the quantum groups at roots of unity
Minxian Zhu
We study the bimodule structure of the quantum function algebra at roots of 1 and prove that it admits an increasing filtration with factors isomorphic to the tensor products of th…
Vertex operator algebras associated to modified regular representations of affine Lie algebras
Minxian Zhu
Let be a simple complex Lie group with Lie algebra $\mf g$ and let $\af$ be the affine Lie algebra. We use intertwining operators and Knizhnik-Zamolodchikov equations to constr…