Matrix factorizations from SYZ transformations

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.

20 pages. Dedicated to Prof. S.-T. Yau on the occasion of his 60th birthday

Keywords

Mathematics - Algebraic Geometry, Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), Algebraic Geometry (math.AG)

6 Research products, page 1 of 1

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