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The Physical Mirror Equivalence for the Local P²

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Title The Physical Mirror Equivalence for the Local P²
Names Cacciatori, Sergio Luigi (creator)
Compagnoni, Marco (creator)
Guerra, Stefano (creator)
Date Issued 2015-01 (iso8601)
Note This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Springer and can be found at: http://link.springer.com/journal/220
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 D[superscript b][subscript P²] (K[subscript P²]) 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.
Genre Article
Identifier Cacciatori, S. L., Compagnoni, M., & Guerra, S. (2015). The Physical Mirror Equivalence for the Local P². Communications in Mathematical Physics, 333(1), 367-388. doi:10.1007/s00220-014-2214-7

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