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arXiv · 1006.3832

Matrix factorizations from SYZ transformations

Kwokwai Chan·Naichung Conan Leung
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Abstract

It is known that Lagrangian torus fibers of the moment map of a toric Fano manifold $X$, equipped with flat $U(1)$-connections, are mirror to matrix factorizations of the mirror superpotential $W:\check{X}\rightarrow\bC$. Via SYZ mirror transformations, we describe how this correspondence, when $X$ is $\bP^1$ or $\bP^2$, can be explained in a geometric way.

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Kwokwai Chan, Naichung Conan Leung. 2010-06-19. Matrix factorizations from SYZ transformations. https://arxiv.org/abs/1006.3832

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