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Descendants constructed from matter fields in topological Landau-Ginzburg theories coupled to topological gravity
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abstract
It is argued that gravitational descendants in Landau-Ginsburg theory coupled to topological gravity can be constructed from the matter fields only. For example, $\sigma_1 (\Phi) = V'\int \Phi$. This descendants turn out to be connected with K.Saito higher residue pairing. Naive computaitions are corrected with the help of the contact term, the form of this term is found. k-point correlation functions on a sphere are calculated.
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Cited by 1 Pith paper
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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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