173 citations · 972 across the 64 of their papers we have counts for
4 papers · 1 filter
Introduction to the vertex algebra approach to mirror symmetry
Lev A. Borisov
The goal of this paper is to make the vertex operator algebra approach to mirror symmetry accessible to algebraic geometers. Compared to better-known approaches using moduli spaces…
Toric modular forms and nonvanishing of L-functions
Lev A. Borisov, Paul E. Gunnells
In a previous paper \cite{BorGunn}, we defined the space of toric forms $\TTT(l)$, and showed that it is a finitely generated subring of the holomorphic modular forms of integral w…
Toric varieties and modular forms
Lev A. Borisov, Paul E. Gunnells
Let $N\subset \RR^{r}$ be a lattice, and let $°\colon N \to \CC$ be a piecewise-linear function that is linear on the cones of a complete rational polyhedral fan. Under certain con…
Elliptic Genera and Applications to Mirror Symmetry
Lev A. Borisov, Anatoly Libgober
The paper contains a proof that elliptic genus of a Calabi-Yau manifold is a Jacobi form, finds in which dimensions the elliptic genus is determined by the Hodge numbers and shows…