Abstract
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 that elliptic genera of a Calabi-Yau hypersurface in a toric variety and its mirror coincide up to sign. The proof of the mirror property is based on the extension of elliptic genus to Calabi-Yau hypersurfaces in toric varieties with Gorenstein singularities.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 453-485 |
| Number of pages | 33 |
| Journal | Inventiones Mathematicae |
| Volume | 140 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2000 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)