The Physical Mirror Equivalence for the Local P2
Abstract
In this paper we consider the total space of the canonical bundle of P2 and we use a proposal by Hosono, together with results in Seidel and Auroux-Katzarkov-Orlov, to deduce the right physical mirror equivalence between Db(KP2) 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.
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