In this paper we consider the total space of the canonical bundle of P2 and we use a proposal by Hosono, together with results of Seidel and Auroux, Katzarkov, Orlov, to deduce the physical mirror equivalence between DbP2(KP2) and the derived Fukaya category of its mirror which assigns the expected central charge to BPS states. By construction, our equivalence is compatible with the mirror map relating the complex and the Kähler moduli spaces and with the computation of Gromov-Witten invariants.

The Physical Mirror Equivalence for the Local $${\mathbb{P}^2}$$

COMPAGNONI, MARCO;
2015

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 of Seidel and Auroux, Katzarkov, Orlov, to deduce the physical mirror equivalence between DbP2(KP2) and the derived Fukaya category of its mirror which assigns the expected central charge to BPS states. By construction, our equivalence is compatible with the mirror map relating the complex and the Kähler moduli spaces and with the computation of Gromov-Witten invariants.
Local Homological Mirror Symmetry
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/882560
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