The Genus One Gromov-Witten Invariants of Calabi-Yau Complete Intersections
Abstract
We obtain mirror formulas for the genus 1 Gromov-Witten invariants of projective Calabi-Yau complete intersections. We follow the approach previously used for projective hypersurfaces by extending the scope of its algebraic results; there is little change in the geometric aspects. As an application, we check the genus 1 BPS integrality predictions in low degrees for all projective complete intersections of dimensions 3, 4, and 5.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2010
- DOI:
- 10.48550/arXiv.1007.3534
- arXiv:
- arXiv:1007.3534
- Bibcode:
- 2010arXiv1007.3534P
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14N35(Primary);
- 53D45(Secondary)
- E-Print:
- 31 pages, 3 tables, 2 figures, references updated