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Primitive Forms, Topological LG models coupled to Gravity and Mirror Symmetry
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In this paper, we will describe the mathematical foundation of topological Landau-Ginzburg (LG) models coupled to gravity at genus 0 in terms of primitive forms. We also discuss the mirror symmetry for Calabi-Yau manifolds and CP^1 in our context. We will show that the mirror partner of CP^1 is the theory of primitive form associated to f=z+qz^{-1}.
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Landau-Ginzburg-Saito theory for descendant Gromov-Witten theory on projective line
Genus-zero descendant Gromov-Witten invariants of P1 are shown to equal LGS correlation functions of Kontsevich-Manin mirror observables.
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