The Physical Mirror Equivalence for the Local P^2
Mathematical Physics
2016-04-07 v1 High Energy Physics - Theory
Algebraic Geometry
math.MP
Abstract
In this paper we consider the total space of the canonical bundle of P^2 and we use a proposal by Hosono, together with results in Seidel and Auroux-Katzarkov-Orlov, to deduce the right physical mirror equivalence between D^b(K_{P^2}) and the derived Fukaya category of its mirror. By construction, our equivalence is compatible with the mirror map between moduli spaces and with the computation of Gromov--Witten invariants.
Keywords
Cite
@article{arxiv.1301.4437,
title = {The Physical Mirror Equivalence for the Local P^2},
author = {Sergio Luigi Cacciatori and Marco Compagnoni and Stefano Guerra},
journal= {arXiv preprint arXiv:1301.4437},
year = {2016}
}
Comments
21 pages, 6 figures