arXiv · math/0610901
Disk enumeration on the quintic 3-fold
Abstract
Holomorphic disk invariants with boundary in the real Lagrangian of a quintic 3-fold are calculated by localization and proven mirror transforms. A careful discussion of the underlying virtual intersection theory is included. The generating function for the disk invariants is shown to satisfy an extension of the Picard-Fuchs differential equations associated to the mirror quintic. The Ooguri-Vafa multiple cover formula is used to define virtually enumerative disk invariants. The results may also be viewed as providing a virtual enumeration of real rational curves on the quintic.
Explore related subjects
Keep this discovery
Explore connections, maps & timelines
R. Pandharipande, J. Solomon, J. Walcher. 2007-05-28. Disk enumeration on the quintic 3-fold. https://doi.org/10.1090/s0894-0347-08-00597-3
Cite the original work for its findings. Save a collection to share your selection of sources.