Mirror symmetry without corrections

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dc.creatorLeung, Naichung Conan
dc.date2000-09-27
dc.date2001-07-10
dc.date.accessioned2026-07-07T04:37:43Z
dc.date.available2026-07-07T04:37:43Z
dc.descriptionWe give geometric explanations and proofs of various mirror symmetry conjectures for $T^{n}$-invariant Calabi-Yau manifolds when instanton corrections are absent. This uses fiberwise Fourier transformation together with base Legendre transformation. We discuss mirror transformations of (i) moduli spaces of complex structures and complexified symplectic structures, $H^{p,q}$'s, Yukawa couplings; (ii) sl(2)xsl(2)-actions; (iii) holomorphic and symplectic automorphisms and (iv) A- and B-connections, supersymmetric A- and B-cycles, correlation functions. We also study (ii) for $T^{n}$-invariant hyperkahler manifolds.
dc.descriptionCorrected version
dc.identifierhttps://arxiv.org/abs/math/0009235
dc.identifierhttp://arxiv.org/abs/math/0009235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60004
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleMirror symmetry without corrections
dc.typetext

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