Publication: Extending Mirror Conjecture to Calabi–yau with Bundles
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Date
1999
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World Scientific Publishing
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VAFA, CUMRUN. 1999. “EXTENDING MIRROR CONJECTURE TO CALABI–YAU WITH BUNDLES.” Communications in Contemporary Mathematics 1 (1): 65–70. https://doi.org/10.1142/s0219199799000043.
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Abstract
We define the notion of mirror of a Calabi-Yau manifold with a stable bundle in the context of type II strings in terms of supersymmetric cycles on the mirror. This allows us to relate the variation of Hedge structure for cohomologies arising from the bundle to the counting of holomorphic maps of Riemann surfaces with boundary on the mirror side. Moreover it opens up the possibility of studying bundles on Calabi-Yau manifolds in terms of supersymmetric cycles on the mirror.
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