Integrality theorems in the theory of topological strings
High Energy Physics - Theory
2009-09-28 v2
Abstract
We give a simplified derivation of the expression of instanton numbers and of mirror map in terms of Frobenius map on p-adic cohomology and use this expression to prove integrality theorems. Modifying this proof we verify that the Aganagic-Vafa formulas for the number of holomorphic disks can be expressed in terms of Frobenius map on p-adic relative cohomology; this expression permits us to prove integrality of this number.
Cite
@article{arxiv.0807.1714,
title = {Integrality theorems in the theory of topological strings},
author = {Albert Schwarz and Vadim Vologodsky},
journal= {arXiv preprint arXiv:0807.1714},
year = {2009}
}
Comments
33 pages, new results in the last section. Appendix added