Logarithmic degenerations of Landau-Ginzburg models for toric orbifolds and global tt* geometry
Abstract
We discuss the behavior of Landau-Ginzburg models for toric orbifolds near the large volume limit. This enables us to express mirror symmetry as an isomorphism of Frobenius manifolds which aquire logarithmic poles along a boundary divisor. If the toric orbifold admits a crepant resolution we construct a global moduli space on the B-side and show that the associated tt*-geometry exists globally.
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