Monday, January 21, 2013

1301.4437 (Sergio Luigi Cacciatori et al.)

The Physical Mirror Equivalence for the Local P^2    [PDF]

Sergio Luigi Cacciatori, Marco Compagnoni, Stefano Guerra
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.
View original: http://arxiv.org/abs/1301.4437

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