The Physical Mirror Equivalence for the Local P² Public Deposited

http://ir.library.oregonstate.edu/concern/articles/794082797

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

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  • The Physical Mirror Equivalence for the Local P2
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  • 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.
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  • 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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