Quantum differential systems and some applications to mirror symmetry

Autor:	Douai, Antoine
Rok vydání:	2012
Předmět:	Mathematics - Algebraic Geometry 14N35 32S40
Druh dokumentu:	Working Paper
Popis:	We study mirror symmetry (A-side vs B-side) in the framework of quantum differential systems. We focuse on the logarithmic and non-resonant case, which describes the geometric situation. We show that quantum differential systems provide a good framework in order to generalize the construction of the rational structure on the A-side given by Katzarkov, Kontsevitch and Pantev for the projective spaces. As an application, we compute the rational structure obtained in this way on the orbifold cohomology of weighted projective spaces. As an example we also calculate, using quantum differential systems, a mirror partner of the Hirzebruch surface F2. Comment: Version 4: corrected typos in the beginning of section 11, results unchanged
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1203.5920 Zobrazit plný text záznamu View this record from Arxiv