65 citations · 95 across the 5 of their papers we have counts for
4 papers · 1 filter
Central charges, symplectic forms, and hypergeometric series in local mirror symmetry
Shinobu Hosono
We study a cohomology-valued hypergeometric series which naturally arises in the description of (local) mirror symmetry. We identify it as a central charge formula for BPS states a…
Counting BPS States via Holomorphic Anomaly Equations
Shinobu Hosono
We study Gromov-Witten invariants of a rational elliptic surface using holomorphic anomaly equation in [HST1](hep-th/9901151). Formulating invariance under the affine Weyl gr…
Local Mirror Symmetry and Type IIA Monodromy of Calabi-Yau manifolds
S. Hosono
We propose a monodromy invariant pairing $K_{hol}(X) \otimes H_3(X^\vee,\ZZ) \to \IQ$ for a mirror pair of Calabi-Yau manifolds, . This pairing is utilized implicitly i…
GKZ Hypergeometric Systems and Applications to Mirror Symmetry
S. Hosono, B. H. Lian
We analyze GKZ(Gel'fand, Kapranov and Zelevinski) hypergeometric systems and apply them to study the quantum cohomology rings of Calabi-Yau manifolds. We will relate properties of…